Answer: Parent graph is f(x) = x³
Transformation is 7 units up and reflection across y-axis
Step-by-step 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.
