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Semenov [28]
3 years ago
12

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

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

(3,29)

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is x=\frac{-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=\frac{-18}{2(-3)\\} \\x=\frac{-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)

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