Question

On a coordinate plane, a parabola opens up. It goes through (- 4.25, 10), has a vertex of (- 0.5, -6.2), and goes through (3.25, 10). Solid circles appear on the parabola at (- 4, 6), (- 2, - 4), (- 1, - 6), (0, - 8), (1, - 4), (2, 0), and (3, 6).

Find the indicated function values.
f(–4) =
f(0) =
f(1) =

Answer 1

To find the indicated function values, we need to determine the equation of the parabola and then substitute the given inputs into the equation.

Step-by-step explanation:

To find the indicated function values, we need to determine the equation of the parabola. Based on the given information, we know that the vertex of the parabola is (-0.5, -6.2). This means that the equation is of the form y = a(x - h)^2 + k, where (h, k) is the vertex. Plugging in the vertex coordinates, we have y = a(x + 0.5)^2 - 6.2.

Next, we can use one of the given points on the parabola, (-4.25, 10), to solve for the value of 'a'. Plugging in the coordinates, we get 10 = a((-4.25) + 0.5)^2 - 6.2. Simplifying this equation, we can solve for 'a'.

Once we have the value of 'a', we can substitute it back into the equation of the parabola to find the values of f(-4), f(0), and f(1).