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

which agrees with the last option listed.

Step-by-step explanation:

We use the vertex form of a parabola:

which with the information we have becomes:

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

b. astronomers