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

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03-08-2022
Mathematics

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

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anjithaka anjithaka · Answer 1 · 2022-08-06T06:46:48+02:00

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.

What are transforming functions?

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:

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