Write a function g whose graph is a vertical stretch by a factor of 3 of the graph of f(x)=|x|-5. g(x)=
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Answer:
See belowStep-by-step explanation:
A vertical stretch by a factor of 3 of the graph of f(x) will result in:
g(x) = 3 f(x)This gives us:
g(x) = 3( |x| - 5) = 3|x| - 15The function g(x) after a vertical stretch by a factor of 3 can be defined as follows:
g(x) = 3(|x| - 5)
To create a function g(x) that is a vertical stretch by a factor of 3 of the graph of f(x) = |x| - 5, you can simply multiply the entire function f(x) by 3.
This will stretch the graph vertically while maintaining the same shape.
Therefore, the function g(x) can be defined as follows:
g(x) = 3(|x| - 5)
This function takes the absolute value of x, subtracts 5, and then multiplies the result by 3, resulting in a vertical stretch of the graph of f(x).
The vertical stretch by a factor of 3 means that the y-coordinates of all points on the graph are multiplied by 3, making the graph taller compared to the original f(x) graph.
Hence the function g(x) after the vertical stretch is g(x) = 3(|x|-5).
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Related Questions
How to do multiplication large numbers.
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Answer:
The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:
Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:
When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:
This 0 acts as a placeholder so that this row is aligned properly.
When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit
Where is f(x)=g(x)? Justify your answer algebraically.
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54x^2+208x-308+2x+8=0
54x^2+210x-300=0
9x^2+35x-50=0 (divided both sides by 6)
9x^2+45x-10x-50=0 (wrote the 35x as a difference)
9x(x+5)-10(x+5)=0
(9x-10)(x+5)=0
Now solve the equations:
9x-10=0
x=10/9
x+5=0
x=-5
Therefore, x has two solutions, 10/9 and -5!!
What is the image of the point (- 6, 1) after the reflection over the line y = 2 ?
A. (- 4, 1)
В. (10, 1)
C.(- 6, 3)
D.(- 4, 3)
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The image point is (-6, 3).
What is the image point?According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").
The reflection of point (a,b) with respect to line y=k is point (a, 2k -b)
To find the image of the point (-6 ,1);
The formula:
(a, b) → (a, 2k-b)
Here a=-6, b = 1, k = 2
therefore (-6, 1) → (-6, 2×2 (-1))
= (-6, 3)
Hence, the answer is (-6, 3).
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Please help. Flow chart proof. I'll give brainliest
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Answer:
Step-by-step explanation:
Hi I was wondering if someone can help me with the math problem?
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Answer: 20:12 for the first one
Step-by-step explanation:
5:3, 20:12,
Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
PLZ PLZ PLZ explain step by step.
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0.20 × 120 = 24
Then all you need to do is subtract:
120 - 24 = 96
So the number of students that got sick this year is:
96 students
An animal hospital advertises a veterinarian’s starting salary as $50,000 for the first year, with increases of $1,500 each year for the next nineteen years. The total salary is represented by the series shown. (first image)
Which is equivalent to the series? Check all that apply.
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Answer:
A B & D
Step-by-step explanation:
Edge 2021
Answer:
Part 1: A, B, and D
Part 2: $1,285,000
Step-by-step explanation:
Edge 2022 :)
A kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 50°. Find the length of the string. Round your answer to the nearest tenth.
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Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57
Step-by-step explanation:
WHAT IS BD HELPPPP :)
Answers
Answer:
b 12 probly
Step-by-step explanation:
6 on each side add them ya get 12
Type the expression that results from the following series of steps
Start with y subtract d, multiply by a, then add c.
Answers
Answer:
(y-d) × a + c
Step-by-step explanation:
You start with y:
y
subtract d:
y-d
multiply by a:
(y-d) × a
then add c:
(y-d) × a + c
Hope that helps! :)
what is 3.46 divided by .03
Answers
Answer:
115.3
Step-by-step explanation:
Answer: 115.3333333333 or 115 1/3
Step-by-step explanation:
You take 3.46 and divide it by .03
and you get 115.3333333333 or 115 1/3
Hope this helps :)
Simplify the following:
Answers
Answer:(5x+8)/[(x+4)(x-1)(x+3)]
Step-by-step explanation:
1. First factorize the quad expressions in the denomeneter of both fractions.
2. Then choose you arithmetic common denomeneter .
3. And the rest is child's play.
Which inequality is best represented by the following number line?
Answers
Answer:
A
Step-by-step explanation:
Answer:
solve:
-3x+10<dividing22
-3x< 12
by a negativie flips sign
x>4
So A is correct because the because its an open circle on number line
How do you evaluate (x+3)2 ?
Answers
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answers
Answer:
4a+24
Step-by-step explanation:
a+6+a+6+a+6+a+6 collect the like terms with a and 6
4a+24
Answer:
4a-24
Step-by-step explanation:
its a square. all sides r equal so add everything or multiply by the number of sides. 4(a-6) or (a-6)+(a-6)+(a-6)+(a-6)
What is the name given to this shaded region
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Answer:
The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.
2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.
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A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.
We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.
So we are missing that sides MU and NU are congruent.
For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.
We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.
what is 4xy - 5y² - 3x² from 5x + 3y² - xy ?
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{ \sf8 {y}^{2} + 3 {x}^{2} + 5x - 5xy}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]5x² + 3 {y}^{2} - xy - (4xy - 5y {}^{2} - 3 {x}^{2} )[/tex][tex]5x² + 3 {y}^{2} - xy - 4xy +5 {y}^{2} + 3 {x}^{2} [/tex][tex]3 {y}^{2} + 5 {y}^{2} + 3 {x}^{2} + 5x² - xy - 4xy[/tex][tex]8 {y}^{2} + 8 {x}^{2} - 5xy[/tex]A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:
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Answer:
quantitative manipulation of the independent variable
class extends value undefined is not a constructor or null
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What? What do you mean?
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
Answers
Answer:
B
Step-by-step explanation:
-Solve the proportion (round to the nearest tenth).
1910=x12
Answers
The value of x in the proportion is 15.8.
1910 = x12
1910 = 12x
divide both sides by 12
1910 / 12 = 12x / 12
x = 15.8333333333
x ≈ 15.8
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Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.
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If you pick 14, you get 7 then 22 then 11 then 34 then 17 then 52 then 26 then 13 then 40 then 20 then 10 then 5 then 16 then 8 then 4 then 2 then 1.
From my observations and testing I am quite sure that you are correct
Find the area of a circle with diameter, d = 2m.
Give your answer in terms of pi
Answers
Answer:
A = π m²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here d = 2 , then r = 2 ÷ 2 = 1
A = π × 1² = π × 1 = π m²
100 people are asked if I drank two 7/10 10 years and 20% of people are you
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400
:yes=280 - yes= 56
- no= 224
:no=120
b) 7/50
apologies if wrong i can try again
what is 6.30 divided by 18
Answers
Answer:
6.3/18 = 0.35
Step-by-step explanation:
0.35 is your answer
NEED HELP ASAP Evaluate the expression when g = 3.
4g
Answers
Answer:
12
Step-by-step explanation:
4(3)
4*3 = 12
Answer:
It is 12 I got it right.
Step-by-step explanation:
Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.
Answers
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
The given parameter are;
The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)
The function is used to plot the graph
The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3
The graph of a similar function representing the surface area is attached;
[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]
From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)
Therefore, Claire should use the a domain that gives a continuous graph,
given that r is a denominator of the function, by allowing the radius, r to
take on only natural number values (values larger than 0)
The domain is therefore; 0 < r < ∞
The values r can take should therefore be 0.1, 1, 2, and 3
Learn more about asymptotes here:
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What is median number.
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What is the completely factored form of ? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5).
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Answer: (3x+1) (2x-5)