Question

The equation f(x) = 5x2 − 30x + 6 represents a parabola. What is the vertex of the parabola?

Answer 1

The answer is D. (3,-39)

Just plug the numbers into the formula to find the Parabola.

f(x) = ax$x^{2}$+ bx + c

Then find X:

x = - $\frac{b}{2a}$
Then solve.

Hope this helped. Have a great day!

Answer 2

Answer:

D. $(3,-39)$

Step-by-step explanation:

We have been given an equation $f(x)=5x^2-30x+6$. We are asked to find the vertex of parabola for our given equation.

We will use formula $x=\frac{-b}{2a}$ to find the x-coordinate of the vertex of parabola, then we will substitute the value of x-coordinate in our equation to find the y-coordinate of the parabola.

$x=\frac{-(-30)}{2*5}$

$x=\frac{30}{10}$

$x=3$

Therefore, the x-coordinate of the vertex of the parabola is 3.

Now let us substitute $x=3$ in our given equation to find the y-coordinate of the parabola.

$f(3)=5(3)^2-30(3)+6$

$f(3)=5*9-90+6$

$f(3)=45-90+6$

$f(3)=51-90$

$f(3)=-39$

So, the y-coordinate of the vertex of parabola is $-39$. The point $(3,-39)$ represents the vertex of the parabola represented by our given equation and option D is the correct choice.