Question

A graph of a line starting from the bottom left corner and going up into the top right corner, with coordinate points of: (-2, -4) (-1, -2) (0, 0) (1, 2) (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

Parent (linear) function: y = x

Transformation(s):
- Vertical stretch (dilation) by a factor of 2 (multiply the output by 2).
- No horizontal/vertical shifts and no reflections.

Equation:
f(x) = 2x

(Checks: f(1)=2, f(−1)=−2, f(2)=4, etc.)