Question

F(x) = x^2 - 18x + 86
Find the vertex (show steps)

Answer 1

(9, 5)

Explanation:

First, we can use the axis of symmetry formula to find the x value of the vertex.

This formula is: -b/2a

Plug in the b and a values:

-b/2a

-(-18) / 2(1)

18/2

= 9

Then, plug in 9 as x into the equation, and solve for y:

f(x) = x² - 18x + 86

f(9) = 9² - 18(9) + 86

f(9) = 81 - 162 + 86

f(9) = 5

y = 5

So, the vertex is at (9, 5)