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 function values for f(–4), f(0), and f(1), one can look at the points where solid circles appear on the parabola, which give the y-values at those x-coordinates. Therefore, f(–4) = 6, f(0) = –8, and f(1) = –4.

Step-by-step explanation:

The quest to find the indicated function values for a parabola on a coordinate plane involves analyzing the given parabolic path and the solid circles on the graph that represent specific values where the parabola passes through. Given the parabola and points listed, we can ascertain the function values directly from the solid circle coordinates corresponding to x-values of –­4, 0, and 1. These are essentially the y-values of the function at the given x-values.

Thus, the function values are:

f(–­4) = 6, because the solid circle on the parabola at x = –­4 is at point (–­4, 6).f(0) = –­­8, because the solid circle on the parabola at x=0 is at point (0, –­­8).f(1) = –­­4, because the solid circle on the parabola at x=1 is at point (1, –­­4).