Question

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

y2 = 1.5x
x2 = 1.5y
y2 = 6x
x2 = 6y

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`