Question

Image: a steep curve with coordinate points of 0, 1 and -2, 1 with the final coordinate of -1, -1.


write the equation for the graph in vertex form.

Answer 1

Vertex is (-1, -1), so y = a(x + 1)^2 - 1. Use (0, 1): 1 = a(1)^2 - 1 ⇒ a = 2.

Equation: y = 2(x + 1)^2 - 1.