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The graph of the parent function f(x)=x^3 is transformed such that g(x)=f(-2x). How does the graph of g(x) compare to the graph of f(x)?

User Sripaul
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1 Answer

5 votes

Answer:

look down

Explanation:

1:

Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (4) and divide it by 2 to get 2.

Therefore, the new point is (−12,2)

2:

Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (−12) to get −10.

Therefore, the new point is (−10,4)

3:

Making the input of the function negative will multiply every x-value by −1. To get the new point, we will take the x-value (−12) and multiply it by −1 to get 12.

Therefore, the new point is (12,4)

4:

Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (−12) by 4 to get −3.

Therefore, the new point is (−3,4)

5:

Multiplying the whole function by 4 increases all y-values by a factor of 4, so the new y-value will be 4 times the original value (4), or 16.

Therefore, the new point is (−12,16)

6:

Multiplying the whole function by −1 also multiplies every y-value by −1, so the new y-value will be −1 times the original value (4), or −4.

Therefore, the new point is (−12,−4)

Final Answer

User Walta
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