Rhamelyariolaidn
Answered

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Find the equation of the parabola.
with vertex 0, axis 0x and passing through (3,-6)

Sagot :

Jers15idn
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 =)
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