Question

Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 5 to 10 in increments of 1. The y-axis ranges from negative 7 to 5 in increments of 1.
▶Click for Long Desc

Use the graph to write the equation of the quadratic function in vertex form.

(1 point)
y=−12
(x−
)2+

Answer 1

I can't see the graph image — could you re-upload it or tell me the vertex and one other point on the parabola?

If you prefer to do it yourself, here are the steps:

1. Read the vertex (h,k) from the graph.
2. Read any other clear point (x1,y1) on the parabola.
3. Compute a = (y1 − k) / (x1 − h)^2.
4. Write the vertex form: y = a(x − h)^2 + k.

Example: if the vertex is (3, 4) and the parabola passes through (5, 0), then a = (0 − 4)/(5 − 3)^2 = −4/4 = −1, so y = −1(x − 3)^2 + 4.

Tell me the vertex and one other point (or re-upload the image) and I’ll compute the exact equation.