Question

Describe the transformation from the parent function y=(x+4)^2-1

Answer 1

Translation 4 units to the left., followed by

a translation 1 unit down.

Explanation:

The parent function is y = x^2 which is a parabola that opens upwards and has a vertex at the point (0,0).

Y = (x + 4)^2 is the graph of x^2 translated 4 units to the left.

The - 1 translates the graph down 1 unit.

So the vertex of the new graph is at (-4, 1).