Question

What is the vertex of g(x) = –3x2 + 18x + 2?

Answer 1

C. (3,29)

Explanation:

Edge 2020

Answer 2

`(3,29)`

Explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is
`x=(-b)/(2a)`

We have the function
`g(x)=-3x^2+18x+2`

From this function, we can find that

`a=-3\\b=18\\c=2`

We can plug in our know values into the formula to get

`x=(-18)/(2(-3)\\) \\x=(-18)/(-6) \\\\x=3`

Then we can plug in our x-value to find the y-value of the vertex

`g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29`

This means that the vertex would be
`(3,29)`