Which function is represented by the graph?
The parent absolute value function is translated
3 units and Y 1 unit.
The function that is graphed is f(x) =
Answers
The parent absolute value function is translated 3 units left and 1 unit up.
The function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
The parent absolute function is given as:
[tex]y =|x|[/tex]
When a function is translated 3 units left, the rule of transformation is:
[tex](x,y) \to (x + 3,y)[/tex]
So, we have:
[tex]y = |x + 3|[/tex]
When a function is translated 1 unit uo, the rule of transformation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]y = |x + 3| +1[/tex]
Express as a function
[tex]f(x) = |x + 3| +1[/tex]
Hence, the function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
Read more about transformation at:
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Answer:
left,up, lx+3l+1
Have fun
Related Questions
what label would not be appropriate for volume
Answers
A train is moving at 65.0 m/s. After 16.0 seconds, it is moving at 85.0 m/s. What is the acceleration?
Answers
Happy Holidays!
We can use the following equation to calculate uniform acceleration:
[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]
Plug in the given values to solve:
[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]
Answer:
Hope it will help you...
I need help with this
Answers
Answer:
512
Step-by-step explanation:
64 × 8 = 512
512
64 8
16 4 2
8 2 2 1
6. You are planning a camping trip. The campsite you want to rent charges a $15 fee
to reserve the site, plus an extra $3 per day.
Part I: Define your variables and write a linear equation in slope-intercept form to
represent the cost of the campsite. (4 points)
Part II: Find the y-intercept and interpret it. (2 points)
Part III: Graph the equation for the cost of renting the campsite. Label three
points on your graph and indicate the slope. (4 points) Place the given line on the
graph to represent your equation.
Answers
Answer:
y=3d+15
y intercept is 15
slope is 3
Step-by-step explanation:
to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.
What is 2 + 7?
i have to write 20 characters to get a great answer apparently so just ignore this
Answers
Answer:
9
Step-by-step explanation:
-5/9+(-4/3)-2/3 khan academy. Please help !!!
Answers
Answer:
= -2.554
Step-by-step explanation:
BODMAS Rule:
Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
-4/3 = -1.33333333333
-2/3 = -0.66666666666
-5/9 = -0.55555555555
-0.555+(-1.333)-0.666
= -2.554
Step-by-step explanation:
[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]
First deal with the bracket to get
[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]
Next, find the L.C.M which is 9
[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]
[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]
- 3m + 7 - 2n
Can I get the answer
Answers
Answer:
3m + 5
Step-by-step explanation:
uhmm i think 2n is i cant solve here hope it helps
PLEASE HELP ASAP OF YOU DO FOD BLESS YOU BECAUSE IT WILL RAISE MY GRADE
Answers
Answer:
8
Step-by-step explanation:
The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.
Hope this helps!
Select the two pairs of figures that are similar.
Angle measures are rounded to the nearest integer.
Answers
The two pairs of figures that are similar are shown in figure 1 and 3.
What is Similar quadrilateral?
Two quadrilaterals are similar when there corresponding angles are equal to each other.
Given that;
In figure 1;
Two triangles are shown.
In figure 2;
One rectangle and other is square.
In figure 3;
Two rectangle are shown.
Now,
Since, Two quadrilateral are similar when there corresponding angles are same.
In the figure 1;
The angles of first triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
The angles of second triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
Thus, There all angles are equal to each other.
So, These figure are Similar.
And, In figure 2;
One figure is square and other is a rectangle.
So, It is not similar.
And, In figure 3;
Both figure are rectangle.
And, All angles in a rectangle are 90 degree.
Thus, they are similar.
Therefore,
The two pairs of figures that are similar are shown in figure 1 and 3.
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Evaluate the following expression when x = -4 and y = 4.
Answers
Answer: Should be A
Step-by-step explanation:
Not 100% sure but I'm pretty sure it's A
Answer:
A
Step-by-step explanation:
You need to insert the values into the equations
1) [tex]\frac{x^{6} -x}{4y}[/tex]
[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]
Then open the brackets
[tex]\frac{4096 -(-4)}{16}[/tex]
Open the brackets again not forgetting that 2 - equal a positive
[tex]\frac{4100}{16}[/tex]
Simplify
[tex]\frac{1025}{4}[/tex]
Prove that the equation x^2+px-1=0 for every p has two different solutions
Answers
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
what is the relationship between the amplitude of light of light waves and brightness
Answers
Answer: The amplitude of light waves is associated with our experience of brightness or intensity of color, with larger amplitudes appearing brighter.
1. Edna bought an RTW dress for Php575.00 at 20% discount. What was
the original price?
Answers
Answer:
i think original price Php656.25
Step-by-step explanation:
original price Php x
80%x = 575
x = 575×100/80
x = 656.25
original price Php656.25
A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?
Answers
Answer:
2,771
Step-by-step explanation:
24 x 114 = 2736 + the 35 they threw away = 2,771
a store pays $60 for the shoes and sells them for $90. What is the percent markup
Answers
What is the value of x?
Answers
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
option d is correct[tex]\large\huge\green{\sf{Explanation:-}}[/tex]
The sum of all three angle of triangle is180°[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]
3a-1 over 8=a+9 over 4
Answers
Answer:
1800 stanley steamer
Step-by-step explanation:
HELP ME PLEASE I DONT KNOW HOW TO DO THIS
Answers
Answer:
Step-by-step explanation:
x = 1 - 1
Answer the following questions. Make sure to show all your work.
1. In each case below, show if the point given is a solution to the system of
equations.
a.)
Point (-0.8,-0.6)
Equation 1 - y = 2x + 1
Equation 2 - y = -3x - 3
b.)
Equation 1 - x + y = 3
Equation 2 - y + 2 / 2 = x
POINT - (1/3, 2)
PLZ HELP ME
Answers
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: https://brainly.com/question/847634
PLEASE SOLVE ALL W STEPS WORTH 30 PTS
Answers
Answer:
Step-by-step explanation:
I'll leave you to round
7.)
x= amount invested at time 0
[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]
8.)
[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]
8b.)
In the first investment we had a yield of: 25000-7091.35=17908.65
In the second investment we had a yield of: 35510.5948-7091.35=28419.24
While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate
Please don’t answer just for point! I really need help~
Answers
let f(x)=x-3 and g(x)= 3x^2. perform the function operation and then find the domain of the result. (f-g)(x)
Answers
Answer:
(f-g)(x) = f(x) - g(x)
= x-3 - (3[tex]x^{2}[/tex])
= x- 3 - 3[tex]x^{2}[/tex]
domain is all real number
Step-by-step explanation:
PLS ANSWER THE FOLLOWING QUESTION
I WILL MARK AS BRAINLIST
Answers
Answer:
Simplfy 823543000000
Exponential form 8.23543 × 10^11
Select the correct answer.
If a = 0.3 and b =0.5, what is the value of a+b?
A.8/10
B.8/9
C.80/99
D.88/100
Answers
If a = 0.3 and b =0.5, what is the value of a+b?
A.8/10
B.8/9
C.80/99
D.88/100
Hey Love!<3 It would be
A.8/10
Answer:
B
Step-by-step explanation:
-
Drag the steps for drawing a graph of the function f(x) = 2(x+4)2 - 3 to
arrange them in the correct order. It might help you to draw the graph as
you arrange the steps.
Plot the vertex (-4,-3).
Draw the axis of symmetry x=-4.
Reflect the points over the axis of symmetry and plot (-5, -1), (-6,5), and (-7,15).
Apply the 2x? pattern, from the vertex go right 1 up 2 and plot (-3,-1).
Apply the 2x² pattern again, from the vertex go right 2 up 8 and plot (-2,5).
Apply the 2x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1,15)
Draw a U shaped parabola
Answers
The shape of the graph of quadratic functions is the shape of a parabola.
The steps for drawing a graph of the function f(x) = 2·(x + 4)² - 3 arranged in the correct order are;
(a) Plot the vertex (-4, -3)(b) Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)(c) Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)(d) Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)(e) Draw the axis of symmetry x = -4(f) Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)(g) Draw a U shaped parabola.Reasons:
The given function is; f(x) = 2·(x + 4)² - 3
The function is given in the vertex form; f(x) = a·(x - h)² + k
Therefore, the vertex, (h, k) = (-4, -3)
Step (a);
The vertex can be plotted on the graph
Plot the vertex (-4, -3)Step (b);
Given that the quadratic term is 2·x², the pattern that can be used for the points from the vertex is therefore, 2·x²
From the vertex (-4, -3) apply the 2·x² pattern by going to the right 1 unit and up 2 × 1² = 2 units to get the point (-4 + 1, -3 + 2) = (-3. -1)
Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)Step (c);
To get the next point, the 2·x² pattern is applied with x = 2, to the vertex to get; (-4 + 2, -3 + (2×2²)) = (-2, 5)
Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)Step (d);
A third point on the graph relative to the vertex is obtained again by applying the 2·x² pattern again to the vertex with x = 3, to get;
(-4 + 3, -3 + (2 × 3²)) = (-1, 15)
Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)Step (e);
The axis of symmetry can be drawn with a vertical line passing through the vertex, which is the line, x = -4
The line x = -4 can be drawn on the graph next
Draw the axis of symmetry x = -4Step (f);
The points obtained relative to the vertex (-3, -1), (-2, 5), (-1, 15) can reflected about the axis of symmetry x = -4, to get;
(-3, -1) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-5, -1)
(-2, 5) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 5)
(-1, 15) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 15)
Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)Step (g);
The parabola that is U shaped can be drawn from the points plotted in the steps above.
Draw a U shaped parabolaLearn more about drawing the graph of a quadratic function here:
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HI CAN YOU PLEASE HELP ME
Answers
Answer:
11 C
12 D
13 B
14 E
15 A
Step-by-step explanation:
pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.
Given: triangle JKN J (3,1), K (5,2), N (1,5)
(all 3 need separate answers)
a) find the coordinates of the centroid.
b) find the coordinates of the orthocenter.
c) find the coordinates of the circumcenter and length of radius of circumscribed circle.
Answers
Answer:
Let the radius of the circumscribed circle be r.
The formula for calculating the radius r is
r
=
Δ
s
Where
Δ
is the area of the triangle
s
is the semi-perimeter.
s
for any triangle is calculated as
s
=
a
+
b
+
c
3
Where,
a
,
b
,
c
is the sides of the triangle
Δ
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
(Heron's Formula)
Plug in the values and get the answer.
Once you have the radius, you can easily find out the area of the circle.
Step-by-step explanation:
What is the domain???????
Answers
Answer:
H
Step-by-step explanation:
The domain is the values of x in a function.
The graph appears to extend infinitely to the right and left going from the x value 1
From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.
This can be written as {x | x ≠ 1 }
The answer is H
2x+5y>−6
−4x+3y≤2
Is (-1,7)(−1,7)left parenthesis, minus, 1, comma, 7, right parenthesis a solution of the system?
Answers
Answer:
No
Step-by-step explanation:
Khan told me ;p
Answer:
No
Step-by-step explanation:
PLEASE HELP!!!!
Simplify:
3x2 + 7xy + 9x + (-8xy) +21x2
Answers
Answer:
22 x ² − x y + 9 x
Step-by-step explanation:
The simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
what is simplification?
Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter).
simplify,
[tex]3x^{2}[/tex] + 7xy + 9x + (-8xy) + [tex]21x^{2}[/tex]
3[tex]x^{2}[/tex] + 21[tex]x^{2}[/tex] + 7xy - 8xy + 9x
24[tex]x^{2}[/tex] - 1xy + 9x
hence, the simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
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