Quadratic+Equations

Steven Lessin, Kevin Kelly Sarah Engman, Austin Fair **__How to graph a quadratic function.__** Quadratic function: a nonlinear function that can be written in standard form. ^= exponet and number next to carrot on right is the number of the exponet Parabola: the U shaped graph. Vertex: the highest or lowest point on the parabola. Standard form: Y= ax^2 + bx + c C is the y intercept which makes the parabola longer or shorter. Positve C makes it longer, negative C makes it shorter. A makes the parabola face up or down. A is positve the parabola is facing up if a is negative the parabola is upside down. B changes the parabola too, but you won't need to know.
 * Definitions**

Step 1 Write the problem y = 8x^2
 * Steps to solve**

Step 2 make a table with 2 rows of 3 to 5 spaces Advice: use a calculator to find the best numbers to use. First on calculator you go to plot and input this problem then you go to second table, then it shows the numbers that work. Choose the easist numbers to use (atleast 3) Then put them on your sheet then graph. This is a picture of the table you use. The numbers I will use are 0,0 1,8 -1,8
 * X || aaaaa || aaaaa || aaaaa || aaaaa || aaaaa ||
 * Y ||  ||   ||   ||   ||   ||

Step 3 make a coridinate plane and put in these points.

Step 4 connect the dots, but make sure the two lines you make never meet except for the beginning. Also for the first dots you connect on each side, start to line with a curve in a U and just connnect the rest.

Step 5 find the vertex by looking at the beginning where both lines hit. If positive it would be at the bottom of the parabola. If negative it would be at the top of the parabola. In this case the parabola is positive which means the vetex is at the bottom which would be 0,0

Then write vertex is 0,0 unless the directions tell you otherwise.

You are done.

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