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The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?

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1 vote
The vertex is at (4,-40). Please leave a good rating and thanks. I really appreciate it. Have a nice day!
User Sam Adams
by
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4 votes

Answer:


(4,-40)

Explanation:

We have been given an equation
f(x)=3x^2-24x+8 that represents a parabola. We are asked to find the vertex of parabola.

We will use vertex formula:
(-b)/(2a) to find the x-coordinate of vertex of parabola.


(-(-24))/(2*3)


(24)/(6)


4

So the x-coordinate of vertex of parabola is 4. Now we will substitute
x=4 in our given equation to find the y-coordinate of vertex.


f(4)=3*4^2-24*4+8


f(4)=3*16-96+8


f(4)=48-96+8


f(4)=56-96


f(4)=-40

Since the y-coordinate of vertex of parabola is -40, therefore, the vertex of our given parabola is at point
(4,-40).

User Izrik
by
7.5k points

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