Write+the+Equation+of+the+Parabola4

Step One: Find the vertex point (h,k) (the lowest or highest point in the graph on the axis of symmetry) and any other point (x,y) along the parabola Step Two: Using the vertex point and another point in the parabola, use the equation y=a(x-h)^2+k substitute the vertex point for h and k and the other point for x and y Step Three: Solve for a in the equation Step Four: Rewrite the equation using the vertex point and a in the equation to get your final equation. Example: y=a(x-h)^2+k vertex(2,1) Other point(1,0)

(0)=a((1)-(2))^2+(1) 0=a+1 a=-1 y=-1(x-2)^2+1

This example does not match the equation, but is an example of a parabola. Graph compliments of http://www.regentsprep.org/Regents/Math/conics/LPara.htm

This topic is connected to the others because they all involve parabolas, graphing, vertex points, axises of symmetry, and equations of parabolas.