Since the vertex is (0,0), and it passes through (3,-6), we can conclude that the graph opens to the right because the x coordinate is located at the right side and the y is located at the 4th quadrant. The equation of the parabola that opens to the right side is: y²=4ax
y²=4ax
Substitute the points
(-6)²=4(a)(3)
36=12a
a=3
Since we found out a, we can now solve for the equation of the parabola
y²=4ax
y²=4(3)x
y²=12x
The equation of the parabola is y²=12x. Hope this helps =)
