plot these points and determine the shape of the graph find x intercepts roots of quadratic graphs find line of symmetry of quadratic graphs graph y 9x2 5 y 9 x 2 5 how to graph a parabola quadratic graph example using a quadratic graph to solve a quadratic equation example 5 graph y x2 2x 1 y x 2 2 x 1 graph y x 2 image titled graph a quadratic equation step 10 graphing quadratic equations finding the vertex find quadratic line of symmetry the graph of a quadratic equation math 8 lesson plan 35 graphing quadratic equations class outline for students doc graph of the quadratic function y x² 4x 12 finding solutions to an equation using a table of values are you a student or a teacher find y intercept of quadratic graphs all of the equations shown in the bottom of the applet are equivalent equations to get from the first to the second complete the square 57d6764c9be6c836dabe6e924789813f png using a table of values to graph a linear equation 000865654 1 1426f6498b5731635af3fe0af04a9db5 png a parabola is the locus of points equidistant from a point called the focus and a line called the directrix plot of a parabola graphing a system of quadratic inequalities examples process the graph of a quadratic function 9c1a3e6461af4f126c847dfd0a8e364e png image titled graph a quadratic equation step 1 this image shows 2 graphs side by side the graph on the left here we selected values for x to be 2 4 and 6 you could have chosen any values you wanted is positive asy import graph size 300 label f f p creategraph2qq vertex form equation functions if we apply this method to our original example we rewrite y x2 6x 10 as y x x 6 10 we can see that two points on given the equation y f x a x b where b is any real number the graph of this equation would translate vertically b units 3 for the table of data below draw and label x and y range left 1 infty right this image shows 2 graphs side by side the graph on the left create a data table of reaction distance and braking distance for diffe sds shown on the graph there will be minor variations in reading from the