Question

the graph of f(x) = x² has been shifted into the form f(x) = (x − h)² k:a parabola with a vertex of (-5, -2). what is the value of h? a. 2 b. −5 c. −2 d. 5

Answer 1

The value of h in the vertex form of a parabola f(x) = (x - h)² + k, with the vertex (-5, -2), is directly given by the x-coordinate of the vertex. Therefore, h is -5.

Step-by-step explanation:

The student's question concerns the vertex form of a parabola, f(x) = (x − h)² + k, where the vertex is given as (-5, -2). We want to find the value of h in this equation.

The vertex form indicates that the parabola's vertex is at the point (h, k), which means h and k are the x and y coordinates of the vertex, respectively.

Given that the vertex of the parabola is (-5, -2), we can directly read off the value of h from the x-coordinate of the vertex.

Therefore, the value of h is -5.

The correct answer is b. −5.