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Graph the equation.
y= 1/8(x-6)(x+2)

1 Answer

1 vote

Answer:

see below

Explanation:

See the attachment.

The graph will have x-intercepts where the factors are zero, at x=6 and x=-2. The y-intercept will be the value when x=0: (1/8)(-6)(2) = -1.5.

The axis of symmetry is halfway between the zeros, so is x = (6-2)/2 = 2.

The minimum value of the function is at x=2, so is ...

y = (1/8)(2 -6)(2 +2) = 1/8(-16) = -2

Other y-values can be found by substituting other x-values in the equation and evaluating it. Rather than go to that trouble, I prefer to use a graphing calculator.

Graph the equation. y= 1/8(x-6)(x+2)-example-1
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