Question

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Answer 1

                                                   Answer:

(x − 4)² −4

                                    Step-by-step explanation:

Use the form ax² + bx + c, to find the values of a, b, and c.

a = 1 , b = − 8 , c = 12

Consider the vertex form of a parabola.

a (x + d)² 2 + e

Find the value of d using the formula d = b/2a.

Reduce the expression by cancelling the common factors.

Factor 2 out of 8.

d = − 2⋅4/2⋅1

Cancel the common factors.

Factor 2 out of 2⋅1.

d = − 2⋅4/2(1)

Cancel the common factor.

Cancel '

d = − '2'⋅4/'2'⋅1

Rewrite the expression.

d = − 4/1

Divide 4 by 1.

d = − 1⋅4

Multiply −1 by 4.

d = −4

Find the value of e using the formula

e = c − b2²/4a.

Simplify each term.

Multiply 4 by 1.

e = 12 − (−8)²/4⋅1

Raise −8 to the power of 2.

e = 12 − 64/4⋅1

Multiply 4 by 1.

e = 12 − 64/4

Divide 64 by 4.

e = 12 − 1⋅16

Multiply −1 by 16.

e = 12 − 16

Subtract 16 from 12.

e = −4

Substitute the values of a, d, and e into the vertex form a(x + d)² + e.

(x − 4)² −4