Question

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Check all that apply.

Answer 1

Given that g(x)=10x^2-100x+213 in vertex form is:
g(x)=10(x-5)2-37
The vertex form of an equation is given by the formula:
f(x)=a(x-h)^2+k
where the vertex is:
(h,k)
Therefore fro our expression the vertex of g(x) is (5,-37)

Answer 2

The vertex of the function of g(x) is (5, -37).

Given that

The function $\rm g(x) = 10x^2 -100x + 213$ written in vertex form is $\rm g(x) = 10(x - 5)^2 - 37.$$\rm g(x) = 10(x - 5)^2 - 37.$

We have to determine

Which statements are true about g(x)?

According to the question

The function $\rm g(x) = 10x^2 -100x + 213$ written in vertex form is $\rm g(x) = 10(x - 5)^2 - 37.$

The vertex form of an equation is given by the formula:

$\rm f(x)=a(x-h)^2+k$

Where h and k are the vertexes of the given function.

The vertex form of the function is

$\rm g(x) = 10(x - 5)^2 - 37.$

On comparing both the equation

h = 5 and k = -37

Hence, the vertex of the function of g(x) is (5, -37).

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