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vichka [17]
2 years ago
13

How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3

Mathematics
1 answer:
vodka [1.7K]2 years ago
6 0

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

<h3>What are transforming functions?</h3>

The transformations of functions describe how to graph a function that exists moving and how its shape exists being changed. There exist basically three kinds of function transformations: translation, dilation, and reflection.

Let f(x) = x³ be the original function.

When -5 exists added to the y-value, it moves the point on the graph down 5 units. Compared to f(x), g(x) exists 5 units down.

f(x) = (x + 4)³ - 5

= [x- (- 4) ]³ - 5 (shift 4 units in the negative x direction that exists 4 units left)

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

To learn more about transforming functions refer to:

brainly.com/question/14261221

#SPJ9

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Plz help me with this
Bumek [7]

Answer:   a) Horizontal Compression, Left 1, Up 2

<u>Step-by-step explanation:</u>

\sqrt{3x+3}+2\implies \sqrt{3(x+1)}+2\\\\\bullet \text{The 3 represents a horizontal compression by a factor of }\dfrac{1}{3}\\\\\bullet \text{The 1 under the square root represents a shift to the LEFT 1 unit}\\\\\bullet \text{The 2 outside of the square root represents a shift UP 2 unit}

3 0
3 years ago
A maps key shows that every 5 inches on the map represents 200 miles of actual distance. Suppose the distance between two cities
ryzh [129]
Hello there, and thank you for posting your question here on brainly.

Short answer: 280 miles.

Why?

You can find this out by finding out how much 1 in is by dividing 200 by 5. (200 / 5 ==> 40) So 1 in = 40 miles. Now, we multiply that by 7, so we can find out how much 7 in would be. (7 * 4 ==> 280) 7 inches on the map represents 280 miles.

Hope this helped you! ♥
3 0
3 years ago
Slope and y intercept?
Reil [10]

Answer:
slope: -1/3

Y-intercept: 0

Step-by-step explanation:

The line crosses the y-axis at 0, and the pibe decreases by 1 down and goes to the side by 3, using rise over tu it would be -1/3


I hope it helps! Have a great day!

Pan~

7 0
2 years ago
Read 2 more answers
Which graph represents 2x − 5y ≥ − 20
DENIUS [597]

Answer:

Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.

Step-by-step explanation:

3 0
3 years ago
A study attempts to compare two sunscreens. Each of 50 subjects with varying skin complexions will use both sunscreens—Screen A
OverLord2011 [107]

Answer:

D. a matched pairs experiment.

Step-by-step explanation:

A matched pairs experiment can be designed when there are only two possible treatment conditions (Screen A and Screen B) within an experiment and the subjects can be accordingly grouped into pairs (Both sides of the body of a same person, since both sides present the same skin complexion). Within each pair (both sides of the subject's body), subjects are randomly assigned (coin toss) to different treatments.

Therefore, this experiment is an example of a matched pairs experiment.

8 0
4 years ago
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