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 (h, k). (b) If a > 0, the graph of f opens upwards. In this case, f(h) = k is the value of f. (c) If a < 0, the graph of f opens downwards. In this case, f(h) = k is the value of f.

Name: the quadratic function fx ax h2 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 in this case fh k is the value of f c if a 0 the graph of f 63147
Uploaded: 2020-06-03T21:28:48-08:00
Duration: 1 min 23 s
Channel: Amrita Bhasin
Description: the quadratic function fx ax h2 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 in this case fh k is the value of f c if a 0 the graph of f 63147

          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 value of f. 
(c) If a < 0, the graph of f opens downwards. In this case, f(h) = k is the value of f.

Added by Adriana R.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Amrita Bhasin

06/03/2020

Step 1

Step 1: The standard form of a quadratic function is \( f(x) = a(x - h)^2 + k \), where the vertex of the parabola is at the point \((h, k)\). 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 value of f. (c) If a < 0, the graph of f opens downwards. In this case, f(h) = k is the value of f.