Respuesta :

Eddie1Wan

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

CoastsideDad

Answer:

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

Step-by-step explanation:

Use vertex formula : x =  [tex]\frac{-b}{2a}[/tex]

x = [tex]\frac{-(-8)}{(2)(1)}[/tex] = [tex]\frac{8}{2}[/tex] = 4

Substitute x in original equation and solve for y:

y = [tex]4^{2}[/tex] - 8(4) + 22

y = 16 - 32 + 22

y = 6

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