Question

The quadratic function f(x) = a(x - h)^2 + k is in standard form. (a) The graph of f is a parabola with vertex (x, y) = ( ). (b) If a > 0, the graph of f opens --Select-- . In this case f(h) = k is the --Select-- value of f. (c) If a < 0, the graph of f opens --Select-- . In this case f(h) = k is the --Select-- value of f.

          The quadratic function f(x) = a(x - h)^2 + k is in standard form.
(a) The graph of f is a parabola with vertex (x, y) = (
).
(b) If a > 0, the graph of f opens --Select-- . In this case f(h) = k is the --Select-- value of f.
(c) If a < 0, the graph of f opens --Select-- . In this case f(h) = k is the --Select-- value of f.

The quadratic function f(x) = a(x - h)^2 + k is in standard form.
(a) The graph of f is a parabola with vertex (x, y) = (
).
(b) If a > 0, the graph of f opens –Select– . In this case f(h) = k is the –Select– value of f.
(c) If a < 0, the graph of f opens –Select– . In this case f(h) = k is the –Select– value of f.

Added by Matthew S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kathleen Carty

04/22/2022

Step 1

Here, (h, k) is the vertex of the parabola. This is because the graph of the function is a parabola that opens either upwards or downwards, and the vertex is the point at which the parabola reaches its maximum or minimum value. (b) If a > 0, the graph of the Show more…

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The quadratic function f(x) = a(x - h)^2 + k is in standard form. (a) The graph of f is a parabola with vertex (h, k). (b) If a > 0, the graph of f opens upwards. In this case, f(h) = k is the minimum value of f. (c) If a < 0, the graph of f opens downwards. In this case, f(h) = k is the maximum value of f.