Question

Which of the following could be its equation?

Answer 1

So to solve problems like these you can work out each equation by substituting the x and y with the coords from the vertex (2,-4) and which ever one is true is the corresponding equation.

Lets try the first one

A) y = 2( x-2)^2-4    this would become

  -4 = 2(2-2)^2-4    we solve this and get

   -4 = 2(0)-4

   -4 = -4  

so it seems like A is the correct answer, of course we'd wanna check out the other answers just to be sure.

Lets try one and do C

C)  -2 = 2(-4-2)^2+2  

    -2 = 2(-8)^2+2

    -2 = 130

These aren't equal so this can't be our equation

So you can also do one more just to be super sure you have the right answer but I think A is the correct one :)