Answer:
f(x) = (x-2)² + 4
Step-by-step explanation:
Rewrite the equation in term of x and y.
f(x)=x2−4x+8
Rewrite the equation in vertex form.
Complete the square for x2−4x+8.
Use the form ax²+bx+c, to find the values of a, b, and c.
a=1,b=−4,c=8
Consider the vertex form of a parabola.
a(x+d)²+e
Substitute the values of a and b into the formula d=b/2a.
d=−4/2(1)
Simplify the right side.
(x−2)2+4
Set y equal to the new right side.
y=(x−2)2+4
