Respuesta :
The answer is D. (3,-39)
Just plug the numbers into the formula to find the Parabola.
f(x) = ax[tex] x^{2} [/tex]+ bx + c
Then find X:
x = - [tex] \frac{b}{2a} [/tex]
Then solve.
Hope this helped. Have a great day!
Just plug the numbers into the formula to find the Parabola.
f(x) = ax[tex] x^{2} [/tex]+ bx + c
Then find X:
x = - [tex] \frac{b}{2a} [/tex]
Then solve.
Hope this helped. Have a great day!
Answer:
D. [tex](3,-39)[/tex]
Step-by-step explanation:
We have been given an equation [tex]f(x)=5x^2-30x+6[/tex]. We are asked to find the vertex of parabola for our given equation.
We will use formula [tex]x=\frac{-b}{2a}[/tex] 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.
[tex]x=\frac{-(-30)}{2*5}[/tex]
[tex]x=\frac{30}{10}[/tex]
[tex]x=3[/tex]
Therefore, the x-coordinate of the vertex of the parabola is 3.
Now let us substitute [tex]x=3[/tex] in our given equation to find the y-coordinate of the parabola.
[tex]f(3)=5(3)^2-30(3)+6[/tex]
[tex]f(3)=5*9-90+6[/tex]
[tex]f(3)=45-90+6[/tex]
[tex]f(3)=51-90[/tex]
[tex]f(3)=-39[/tex]
So, the y-coordinate of the vertex of parabola is [tex]-39[/tex]. The point [tex](3,-39)[/tex] represents the vertex of the parabola represented by our given equation and option D is the correct choice.
