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o-na [289]
3 years ago
7

The function g is given in three equivalent forms. Which form most quickly reveals the vertex?

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

Option A. g(x)= \frac{1}{2}(x-8)^2-8

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function g is given in three equivalent forms.

Which form most quickly reveals the vertex?

A)g(x)= 1/2(x-8)^2-8

B)g(x)= 1/2(x-12)(x-4)

C)g(x)= 1/2x^2-8x+24

we know that

The equation of a quadratic function in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex of the function

In this problem, the option A is the equation of the function in vertex form

we have

g(x)= \frac{1}{2}(x-8)^2-8

where the vertex is the point (8,-8)

therefore

Option A

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