Answer: 1) shifted to the right 3 units: y = (x - 3)²
2) reflected over the x-axis: y = -x²
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch
- -a is a reflection over the x-axis
- (h, k) is the vertex
- h is the horizontal shift (positive = right, negative = left)
- k is the vertical shift (positive = up, negative = down)
1) The parabola shifted to the right 3 units --> h = 3
y = (x - 3)²
2) The parabola reflected over the x-axis --> a = -1 (h. k) = (0, 0)
y = -x²
