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 4, negative 2. what is the value of k? a. 2 b. −2 c. 4 d. −4

Answer 1

The value of k in the equation f(x) = (x - h)² + k, given a parabola with a vertex of (h, k), is -2.

Step-by-step explanation:

To find the value of k, we need to use the equation f(x) = (x - h)² + k, where the vertex of the parabola is given as (h, k).

In this case, the vertex is (4, -2). So we have f(x) = (x - 4)² - 2.

Therefore, the value of k is -2, which is option b.

The question asks about determining the value of k in the quadratic function f(x) = (x − h)^2 + k where the vertex of the parabola is given as (4, -2). This means that when x equals 4, f(x) equals -2. Since the vertex form of a quadratic equation is f(x) = a(x − h)^2 + k where (h, k) is the vertex, the value of k is the y-coordinate of the vertex. So in this case, the value of k is -2, which corresponds to option b. − 2.