Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer:

A.

Step-by-step 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