Question

 Please help!! Which equation represents the parabola shown on the graph?

Answer 1

we know that

The parabola shown on the graph represent a vertical parabola open upward with vertex at the origin

so

the equation of the parabola is equal to

$x^{2}=4ay$ ------> equation A

the equation of the directrix is equal to

$y=-a$

In this problem we have

the equation of the directrix is equal to

$y=-1.5$

so

the value of a is equal to

$a=1.5$

substitute the value of a in the equation A

$x^{2}=4(1.5)y$

$x^{2}=6y$

therefore

the answer is the option

$x^{2} =6y$

Answer 2

X^2=6y Hope this helps!