What is the equation of the following graph in vertex form

y=(x-4)²-4

Step-by-step explanation:

Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:

(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]

x²-8x+12=0 (Standard Form)

x²-8x+12+4=0+4 (Completing the square)

x²-8x+16=4

(x-4)²=4

(x-4)²-4=0

Therefore, our equation for the graph in vertex form is y=(x-4)²-4

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.