Which equation has a graph that is a parabola with a vertex at (–1, –1)? y = (x – 1)2 + 1 y = (x – 1)2 – 1 y = (x + 1)2 + 1 y = (x + 1)2 – 1

Question

asked Jan 21, 2021 159k views

2 Answers

Jayda · Answer 1 · 2021-01-28T04:57:35+0000

Answer:

y=(x+1)^2-1

which agrees with the last option listed.

Explanation:

We use the vertex form of a parabola:

y-y_v=a(x-x_v)^2

which with the information we have becomes:

$y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1$

Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.

y=(x+1)^2-1