Question

Which of the equations below could be the equation of this parabola?

Answer 1

Answer is A
Tip: Try typing each graph equation into this online graph plotter called "Desmos"

:)

Answer 2

we know that

the equation of the graph is a horizontal parabola

the equation of a horizontal parabola is of the form

`x=-a(y-k)^(2)+h` -------> negative because open to the left

where

(h,k) is the vertex of the parabola

in this problem we have

`(h,k)=(0,0)`

Substitute in the equation above

`x=-a(y-0)^(2)+0`

`x=-ay^(2)`

therefore

the answer is

`x=-5y^(2)`