Advanced Algebra Help.....?

Question

Write the quadratic function y=x^2-8x+11

Answer 1

y = x^2 - 8x+11 Original equation

y + ? = (x^2 - 8x + ?) + 11 Prepare to complete the square for x^2 - 8x

y+16 = (x^2 - 8x + 16) +11 Add (-8/2)^2 = (-4)^2

y + 16 = (x-4)^2 - 5 Solve for y

The vertex form of the function is y = (x-4)^2 - 5 and the vertex is (4,5) because that's what its asking for

Answer 2

Write, sketch or complete the square or solve for x?

f(x)= x^2-8x+11 This is a quadratic function.

Completing the square or solving for x:

x^2-8x+11=

x^2-8x= -11

x^2+16 = -11

(x+4)^2 = -11

x= -4  + / - sqrt -11