Parabolic Mirrors
<p>Take the point P on this parabola and its x value is at²(a is important as it controls how steep the parabola is, as a gets smaller the parabola gets smaller and more squished together). As we increase and decrease t we slide up and down the x axis. The y value of P is 2at.</p>
<p>The parabolic mirror works with light and sound coming in and the parabolic shape focuses it on to a single point. Lets call that single point (a,0). When light comes in it hits a point on the parabola and reflects on to the point (a,0). The light coming in is tangent to the parabola and the two angles it creates on both sides is theta.</p>
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