Question

Rewrite the function by completing the square.

f(x)=x^2-4x-26

Answer 1

`(x-2)^2-30`

Explanation:

use the form
`ax^2+bx+c` to find the values of a, b, and c.

`a=1, b= -4, c = -26`

consider the vertex form of a parabola

`a(x+d)^2+e`

substitute the values of a and b into the formula
`d=(b)/(2a)`

`d=(4)/(2(1))`

simplify the right side.

find the value of e using the formula
`e=c-(b^2)/(4a)`

`e=30`