Guided Practice Write the equation of the parabola in vertex form. The vertex is (−3, −4) and the parabola passes through the point (−1, 0).

Start with vertex form.
y = a(x − h)^2 + k

Using the vertex (−3, −4), substitute h = –3 and k = −4.
y = a(x − (−3))^2 + (−4)
y = a(x + 3)^2 + (−4)

Substitute the included point (−1, 0) into the equation for x and y.
0 = a(−1 + 3)^2 − 4

Simplify the equation to solve for a.
0 = a(2)^2 − 4

Type your answer and then click or tap Done.

Complete the equation for the parabola in the graph.

y = Fill in the blank text field 1
(x + Fill in the blank text field 2
)2 – Fill in the blank text field 3