Mr. Gengel wants to make a TV stand with boards that are
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Consider the diagram of the problem.
Let the vertex be on the y axis, exactly, at the point (0, 40)
Another point of this parabola is (200, 100), as can be checked from the figure.
The vertex form of the equation of a parabola is :
, where (h, k) is the vertex of the parabola,
replacing (h, k) with (0, 40), we have:
to find a, we substitute (x, y) with (200, 100):
40,000a=60
a=60/40,000=3/(2,000)
So, the equation of the parabola is
Let the vertex be on the y axis, exactly, at the point (0, 40)
Another point of this parabola is (200, 100), as can be checked from the figure.
The vertex form of the equation of a parabola is :
replacing (h, k) with (0, 40), we have:
to find a, we substitute (x, y) with (200, 100):
40,000a=60
a=60/40,000=3/(2,000)
So, the equation of the parabola is