Question

Write down the turning point of the graph y=x^2 - 8x + 22

Answer 1

Answer:

y=6

Step-by-step explanation:

Differentiate the equation

dy/dx=2x-8

Find the value of x in equation form

2x-8=0

x=8/2=4

Now x=4 is the line of symmetry or the parabola of the quadratic equation.

Plug back x=4 into the equation to find the turning point(minimum value)

y=(4)²-8(4)+22

y=16-32+22

y=6

Answer 2

Answer:

(4 , 6) is the vertex. I guess that can be called the "turning point"

Step-by-step explanation:

Use vertex formula : x =  $\frac{-b}{2a}$

x = $\frac{-(-8)}{(2)(1)}$ = $\frac{8}{2}$ = 4

Substitute x in original equation and solve for y:

y = $4^{2}$ - 8(4) + 22

y = 16 - 32 + 22

y = 6