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10 votes
What are the coordinates of the vertex of the graph of the function y=-3x2-12x +3?

User ElegyD
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1 Answer

22 votes
22 votes

Answer:

(-2, 15)

Explanation:

y = -3x^2 - 12x + 3

a = -3

b = -12

c = 3

the formula for finding the x value of the vertex is -b/2a

so if we plug in the values into the equation we get

-(-12)/2(-3) = 12/-6 = -2

so our x value is -2

to find our y value we have to plug in -2 for every x we see in the original equation

so -3(-2)^2 - 12(-2) + 3 = -12 + 24 + 3 = 15

15 is our y value

so the vertex is (-2, 15)

User Madlyn
by
2.7k points