Answer:
- shift 7 units to the left
- shift 11 units up
- multiply function by -1
Transformed equation is: f(x) = -3(x + 2) + 4
Step-by-step explanation:
The vertex equation of a parabola is: f(x) = a(x - h)² + k where
- a is the vertical stretch (negative sign is a reflection over x-axis)
- (h, k) is the vertex
We are given f(x) = 3(x - 5)² - 7 --> a = 3, (h, k) = (5, -7)
→ We need to move the x-coordinate from 5 to -2 (7 units left)
→ We need to move the y-coordinate from -7 to 4 (11 units up)
→ To reflect over the x-axis, we need to make the a-value negative.
