Question

Find the minimum point of the graph with equation y = x² - 8x + 11

Answer 1

-5

Explanation:

Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk.

a=1a=1

h=−4h=-4

k=−5

Answer 2

(4, -5)

Explanation:

completing the square:

x^2 - 8x + 11 = 0

(x-4)^2 + 11 - (-4)^2 = 0

(x-4)^2 + 11 - 16 = 0

(x-4)^2 -5 = 0

minimum point = (4, -5)