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Yuliya22 [10]
3 years ago
9

The function f(x) = x2 − 12x + 5 written in vertex form is f(x) = (x − 6)2 − 31. What are the coordinates of the vertex?

Mathematics
2 answers:
Artist 52 [7]3 years ago
7 0
\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
f(x)=1(x-\stackrel{h}{6})^2\stackrel{k}{-31}\qquad \qquad vertex~(6,-31)
mr Goodwill [35]3 years ago
5 0

Answer:-  C is the right answer. The coordinates of the vertex = (h,k) = (6, −31).


Explanation:-

Given standard form :- f(x)=x^2-12x+5

and its vertex form :-f(x)=(x-6)^2-31 [which derived from the completing the square form.]

On comparing with the vertex form of equation in parabola = f(x)=(x-h)^2+k

Then the coordinates of the vertex = (h,k) = (6, −31)

  • A point (h,k) where a parabola intersects its axis of symmetry is called the vertex (h,k) of the parabola .
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