Question

F(x)=(-x)^3+7

what is the parent function and the transformation???


Okay yall so I am aware that the parent function is f(x)=x^3 but how do I know whether the transformation is a vertical or a horizontal compression or stretch? I need help, not just an answer. Thank you.

Answer 1

Answer: Parent graph is f(x) = x³

Transformation is 7 units up and reflection across y-axis

Explanation:

Given parent graph of f(x) = x³, the transformed graph is represented by: g(x) = A (Bx - C)³ + D where

• A is the vertical stretch if |A| > 1 or shrink if |A| < 1
• -A is a reflection across the x-axis
• B is a horizontal stretch if |B| < 1 or shrink if |B| > 1
• -B is a reflection across the y-axis
• C is a horizontal shift (to the right if positive or left if negative)
• D is a vertical shift (up if positive or down if negative)

The equation you provided has -B, which represents a reflection across the y-axis and D-value of +7 which is a vertical shift up 7 units.