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A skateboard halfpipe is being designed for a competition. the halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground. using the ground as the x-axis, where should the base of the halfpipe be positioned? which equation best describes the equation of the halfpipe?

Sagot :

The equation of parabola is given by  

                                         (X-h)^2 = 4p(Y-k)^2

2p = 30 - 0

p = 15

4p = 4 × 15

    = 60

In this case h = 0

So, we have (h,p) = (0,15)

So we get  

We have equation: x^2 = 60(y-15)

y = x^2 / 60 + 15

What is a parabola?

  • A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix.
  • The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax. Some of the important terms below are helpful to understand the features and parts of a parabola. Focus: The point (a, 0) is the focus of the parabola.

To learn more about parabola from the given link

https://brainly.com/question/4061870

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