Question

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

Answer 1

The vertex is at (4,-40). Please leave a good rating and thanks. I really appreciate it. Have a nice day!

Answer 2

Answer:

$(4,-40)$

Step-by-step 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: $\frac{-b}{2a}$ to find the x-coordinate of vertex of parabola.

$\frac{-(-24)}{2*3}$  

$\frac{24}{6}$  

$4$  

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 $(4,-40)$.