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concave mirrors and reflectors used inside telescopes and satellite dishes arenamp;#39;t just any old curved shape and the shape they trace out isnamp;#39;t circular in fact concave reflectors like this one curve in the shape of what we call a parabola only a parabola can focus incoming light beams to a definite focal point circular reflectors kind of focus the light but not really all that well so what is a parabola well in this video Iamp;#39;m going to show you what a parabola is and show you some of the mathematics involved Iamp;#39;ll then show you how to build whatamp;#39;s called a linear parabolic reflector itamp;#39;s a little bit of maths a little bit of science and a little bit of art and crafts all rolled into one letamp;#39;s begin by drawing a parabola on a Cartesian plane a Cartesian plane has an x-axis and a y-axis and you can plot points onto it using the so called XY coordinates the point two three means two across on the x axis and three up on the y axis so de