Question

The vertex of this parabolas is at (2,-4) which of the following could be its equation?

Answer 1

`x=2(y+4)^2+2`

Explanation:

The vertex of this parabolas is at (2,-4)

Vertex form of equation is
`x=a(y-k)^2+h`

where (h,k) is the vertex

h=2 and k=-4, plug in the values in the equation

`x=a(y-k)^2+h`

`x=a(y+4)^2+2`

the value of 'a' is 2 as per the given options

`x=2(y+4)^2+2`

Answer 2

A.

Explanation:

Just by looking at the way the graph is pointing you can eliminate answer choices B and C because the set up of this equation will be x = not y =

So the set up of the equation is

x=2(y-(the y value of the vertex)squared+(the x value of the vertex)

by using this you can eliminate option D and see that the answer is A