Question

Suppose a parabola has vertexand also passes through the point . What is the equation of the parabola in vertex form? (1 point) Responses Image with alt text: y equals left parenthesis x plus 4 right parenthesis squared plus 7 Image with alt text: y equals 2 left parenthesis x plus 4 right parenthesis squared plus 7 Image with alt text: y equals 2 left parenthesis x plus 3 right parenthesis squared plus 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of the parabola in vertex form is:

y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

From the information given, the vertex is (-4, -7), so we can substitute the values of h and k into the equation:

y = a(x - (-4))^2 + (-7)

Simplifying further, we get:

y = a(x + 4)^2 - 7

The correct equation in vertex form, based on the given information, is:

y = a(x + 4)^2 - 7

Since the equation does not specify the value of 'a' (the coefficient of the squared term), we cannot determine the specific equation without additional information.