Directions: Graph each function. Describe how it compares to the parent function shown on the graph

Question

Y=(x+2)^2
X. Y
Transformations:

Answer 1

This function, y = (x+2)^2, is a transformation of the parent function y = x^2.

The parent function y = x^2 is a parabola that opens upwards with its vertex at the origin (0,0).

The transformation y = (x+2)^2 shifts the parent function 2 units to the left, resulting in a new vertex at (-2,0). The shape of the graph remains the same as the parent function, but it is shifted horizontally to the left.

The graph of y = (x+2)^2 will look like the graph of y = x^2 shifted 2 units to the left.