Answers
Answer:
Option 2: y = a(x + 1)² - 9
Step-by-step explanation:
Given the graph of an upward-facing parabola, whose vertex occurs at point (-1, -9) as its minimum point.
Vertex FormUsing the vertex form of the quadratic equation, y = a(x - h)² + k:
where:
a = determines the wideness and the direction of where the graph opens.
(h, k) = vertex
h = determines the horizontal translation of the graph
k = determines the vertical translation of the graph
Using the vertex, (-1, -9), and another point from the graph, (2, 0), substitute these values into the vertex form to solve for the value of a:
y = a(x - h)² + k0 = a[2 - (-1)]² - 9
0 = a(2 + 1)² - 9
0 = a(9) - 9
Add 9 to both sides to isolate a:
0 + 9 = 9a - 9 + 9
9 = 9a
Divide both sides by 9 to isolate a:
[tex]\displaystyle\mathsf{\frac{9}{9}\:=\:\frac{9a}{9}}[/tex]
a = 1
Final answer:Therefore, the vertex form of the given parabola is: y = a(x + 1)² - 9.
Related Questions
Which of the following is a solution of x2+5x=-2
A.5+ √33
———-
2
B. 5+ √17
———-
2
C.-5+ √33
———-
2
D. 5+ √17
———-
2
Answers
x^2 + 5x = -2
x^2 + 5x + 2 = 0
We need to use the quadratic formula.
In the formula, a = 1, b = 5 and c = 2.
See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.
Students from CAMPA participated in a school fundraiser. The six graders raised $600. The seventh graders raised 35% more than the six graders. The eighth graders raised. 10% less than the seventh graders. What is the total amount the school raised?
Answers
Answer:
$2,139 was the total amount the school raised.
Step-by-step explanation:
35% of 600= 210
210+600 = $810
10% of 810= 81
810-81= $729
6th Graders= $600
7th Graders= $810
8th Graders= $729
Millie has a bank account balance of $1200. Each week, her balance changes by
-$72.50.
She wants to keep the balance
above $620.
How many weeks will Millie's balance remain above $620?
Select from the drop-down menu to correctly complete the statement.
Answers
Answer:
at least 8
Step-by-step explanation:
Answer:
At least 8
Step-by-step explanation:
I took the test
SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available
A the wait time will be about 18 minutes
B the wait time will be about 5 minutes
C the wait time will be about - 2 minutes
D the wait time will be about 2 minutes
Answers
Answer:
D. The wait time will be about 2 mins.
Step-by-step explanation:
You have to substitute the x into the equation as we know it is 10.
So, y = (-1.62 × 10) + 18.
Thus, y = -16.2 + 18.
Then, y would equal 1.8.
Therefore you would round to the nearest minute which would be 2.
Hope this helps :)
Pleaseee HELPPPPPP HELPPPPP PLEASE
Answers
Answer:
14.6
Step-by-step explanation:
the given angle 6.2 is cleared to be wrong
so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles
f (x) = 2log
(1/4x-5) +6
Find the Inverse
f-1(x) = 120.52–3 + 20
f-1(x) = 4.30.53–6 +5
f-1(x) = 4.30.52–3 + 20
-6
=
=
Answers
Answer:
6 is the answer for the question
I want a way to solve this question
Answers
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]
= [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]
= [tex]\frac{5.21}{58.14}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )
Given the function f (x) = 3x — 2, what is the value of f (3)?
Answers
Answer:
7
Step-by-step explanation:
Simply plug in 3 for x. 3 times 3 is 9 and 9 minus 2 is 7.
Which of the following is equal to 7 1/4?
Answers
Answer:
C
Step-by-step explanation:
[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]
The following graph shows the system of equations?
PLS HELP
Answers
What is the equation of the line that passes through the point (8,3) and has a slope of -1/2
Answers
Answer:
y=-1/2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-1/2(x-8)
y=-1/2x+8/2+3
y=-1/2x+4+3
y=-1/2x+7
what is an equation of the line that passes through the point (3, -8) and has slope -2?
Answers
Answer:
Step-by-step explanation:
slope of -2 means the slope is -2/1
from (3, - 8) you can find the y intercept by going backwords until x = 0
(2,-6)
(1,-4)
(0,-2)
so the y intercept is -2
y = -2x - 2
hellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))
Answers
Answer:
Merry Christmas to u, ik i can't help but I would just like to say merry Christmas to u too
A booklet containing ten movie tickets costs $55.00. What is the unit rate?
Answers
Convert 56 grams to 2 ounces
Answers
Answer:
its 2 ounces. if you look it up it would tell you
The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges.
Private colleges: 52.8, 43.2, 45.0, 33.3, 44.0, 30.6, 45.8, 37.8, 50.5, 42.0.
Public colleges: 20.3, 22.0, 28.2, 15.6, 24.1, 28.5, 22.8, 25.8, 18.5, 25.6, 14.4, 21.8.
Required:
a. Based on your computation of the two sample means and the two sample standard deviations, find the degrees of freedom.
b. What is the point estimate of the difference between the two population means?
c. Develop a 95% confidence interval of the difference between the annual cost of attending private and pubic colleges.
Answers
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answers
f(1)= -1
if f(x)= -2 then x=3
if f(x)= 2 then x= -5
Answer:
f(-3)= 1
f(1)= -1
If f(x)= -2 then x = 3
If f(x) = 2 then x = -5
Step-by-step explanation:
f(x) can be replaced with any number. It just means y. For example, let's replace the (x,y) with the (-5,2). For this point, this is f(-5) = 2. When they ask for f(x), they are just asking what y is with a given coordinate x. So when they ask what f(-3) is, they are asking what y is with -3 being the x coordinate.
So, f(-3) = 1
f(1) = -1
For these questions:
If f(x) = -2 then x = ?
If f(x) = 2 then x = ?
They are asking what x is when y is -2 or 2. So here:
If f(x) = -2 then x = 3
If f(x) = 2 then x = -5
Evaluate 4x^2 y^-3 for x=3 and y=-2
Answers
Answer:
36 and -1/8
Step-by-step explanation:
x^2 = 3^2 = 9 * 4 = 36
y^-3 = (-2)^-3 = -1/8
Answer:
-4.5.
Step-by-step explanation:
4x^2 y^-3
= 4x^2 / y^3
When x = 3 and y = -2
it is 4(3)^2 / (-2)^3
= 36 / -8
= -4.5.
help plssssssssssssssssss
Answers
I dont know if question 80 is right but i need help on question 79 and 80
Answers
Answer:
not sure about 80 but for 79, the answer is -185
Step-by-step explanation:
P(4)= (4)^3 - 4(4)^2 + 3(4) - 5
P(4)= 64 - 16^2 + 12 - 5
P(4)= 64 - 256 + 12 - 5
P(4)= -185
(sorry if i made a mistake)
the IQR of the box plot is...
Answers
Answer:
IQR = 3
Step-by-step explanation:
Subtract your Q1 and Q3.
Q1 = 3
Q3 = 6
will mark brainliest Select the correct answer.
Which relation is a function?
ОА
ху
14 -2
5 -3
6 -2
7-3
ОВ.
ху
310
220
3 30
440
ОС
Х У
-52
-53
-104
-105
OD.
ху
1015
2025
8 30
2035
Answers
what is integration ....nd differentiation
Answers
Answer:
Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.
Answer:
integration is the opposite of differentiation
Step-by-step explanation:
integration requires addition of 1 to the power and then division by the value eg
the integral of
[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]
while in differentiation, u subtract one and multiply by the value. eg
the differential of
[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]
A recipe calls for 2 tsp of oatmeal to make 7 protein bars.
How much oatmeal is needed to bake 27 protein bars?
A) 3 1/3 tsp
B) 9 tsp
C) 21 tsp
D) 81 tsp
Answers
Answer:
3 1/3 is the answer im pretty sure
if EF = 8x + 16, FG = 60, and eg = 156, find the value of x
Answers
Answer:
10
Step-by-step explanation:
8x+16+60=156
8x+76=156
8x=80
x=10
A permanent magnet d.c. motor has an armature resistance of 0.5 Ω and when a voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
Answers
Answer:
applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power
can some1 please help:(
Answers
A) -2/5hope it helps ....❤
How many types of windows does Python use? Correct answer will get brainliest.
a.
four
b.
five
c.
one
d.
two
Answers
Answer:
A. 4
Step-by-step explanation:
i guess it A. 4 i dunno
Four types
Explanation:-The python supported windows starts form windows 7 (32bit)All types of python windows are
Windows 7Windows 8Windows 10Windows 11The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.
Why are the events not mutually exclusive?
A, The sum of P(A) and P(B) is less than P(A or B).
B. The product of P(A) and P(B) is less than P(A or B).
C. The product of P(A) and P(B) is not equal to P(A or B).
D. The sum of P(A) and P(B) is not equal to P(A or B).
Answers
The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Given that
probability for event A, P(A) = 0.3. probability for event B, P(B) = 0.6.the probability of events A or B, P(A or B) = 0.8.For mutually exclusive events, P(A) + P(B) = P(A or B).
So, P(A) + P(B) = 0.3 + 0.6 = 0.9
P(A or B) = 0.8
Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8
The events are not mutually exclusive.
So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Learn more about mutually exclusive events here:
https://brainly.com/question/14660720
Answer:
C
Step-by-step explanation:
Equivalent ratios
6:3 X:12 18:x
Answers
Explanation: divide the number you get (e.g.12) into the number on the same side of the other ratio (e.g. 3). So, 12 divided by 3=4, so you multiply 6x3 to get 24 (24:12). Then, 18 divided by 6= 3, so 3x3= 9 (18:9)