Answer:
(x − 4)² −4
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