Me?
y=2(x-5)^2-8
solve the equation for when y=10, show your work algebraically.

Step-by-step explanation:

I've included a graph to confirm the solution.

10 = 2(x - 5)^2 - 8                     Subtract 10 from both sides.

10-10 = 2(x-5)^2 - 8 - 10           Switch

2(X - 5)^2 - 18 = 0                    Divide through by 2

2(x - 5)^2/2  - 18/2 =0

(x - 5)^2 - 9 = 0                        Expand the brackets.

x^2 - 10x + 25 - 9 = 0               Collect like terms

x^2 - 10x + 16  = 0                    Factor

(x - 8)(x - 2) = 0

x = 8

x = 2  

red: 2(x - 5)^2 -8

green: y = 10

Option B.

Step-by-step explanation:

The given expression is

We need to find the complete factored form of the given expression.

Taking out GCF, we get

Splitting the middle term, we get

Taking out common factor.

It is the complete factored form.

Hence, the correct option is B.