Find the vertex of the qudratic function f(x)=x^2-6x+42, then express the qudratic function in standart form f(x)=a(x-h)^2+k and state whether the vertex is a minimum or maximum. Enter exat answers only, no approximations.

kuCAu

kuCAu

Answered question

2021-03-01

Find the vertex of the qudratic function f(x)=x26x+42, then express the qudratic function in standart form f(x)=a(xh)2+k and state whether the vertex is a minimum or maximum. Enter exat answers only, no approximations.

Answer & Explanation

curwyrm

curwyrm

Skilled2021-03-02Added 87 answers

To express the given quadratic function in standard form f(x)=a(xh)2+k
Re-write the given quadratic function as:
f(x)=x26x+42
f(x)=x26x+9+33
f(x)=x22×3x+32+33
f(x)=(x3)2+33
The standard form of a given quadratic function is f(x)=(x3)2+33
Here
a=1,h=3, and k=33.
The given quadratic function is an upward parabola with vertex (3, 33) and it has a minimum at the vertex.
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