Question

A graph of a u-shaped curve pointing downward, with coordinate points of: Vertex, (0, 0) (-1, -1) (1, -1) (-2, -4) and (2, -4)

What transformations on the parent function have occurred? select all that apply

Create an equation for the function shown on the graph: f (x) = _____

Answer 1

Transformations from the parent y = x^2:
- Reflected across the x-axis.
- No horizontal or vertical shift.
- No vertical/horizontal stretch or compression (scale factor 1).

Equation:
f(x) = −x^2

(Checking: f(±1) = −1, f(±2) = −4, vertex at (0,0), matches the points given.)