GRAPHING STANDARD FORM

 

We are given an equation in Standard Form y=ax²+bx+c and we graph the function. The 'a' value tells us if it vertically stretched/compressed and also tells us if it will open up or down. The 'c' value tells us the y-intercept in the equation. If you need to convert Standard Form to Vertex Form you will need to complete the square. We can also convert Standard Form to Factored Form you will need to Factor. 

STEPS:

1. FACTOR THE EQUATION

2. SET EACH BRACKET EQUAL TO ZERO TO DETERMINE THE X-INTERCEPT

3. FIND AXIS OF SYMMETRY(ADD THE X-INTERCEPTS AND DIVIDE IT BY 2)

4. SUB IN THE AXIS OF SYMMETRY INTO EITHER EQUATIONS (STANDARD OR FACTORED FORM) TO FIND THE OPTIMAL POINT 

5. GRAPH USING X-INTERCPTS, VERTEX AND THE Y-INTERCEPT

 

 

EXAMPLES: