SOLUTION: Convert the quadratic function into its standard form, identify the vertex,the x and y intercepts and graph the function and all its components. label all components on the graph

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Convert the quadratic function into its standard form, identify the vertex,the x and y intercepts and graph the function and all its components. label all components on the graph       Log On


   

Question 723678: Convert the quadratic function into its standard form, identify the vertex,the x and y intercepts and graph the function and all its components. label all components on the graph
y=3xsquared + 2x-8 (i.e y=3^x2 +2x-8)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a way to start.

y=3x%5E2%2B2x-8
y=3%28x%5E2%2B%282%2F3%29x++%29-8

The expression, x%5E2%2B%282%2F3%29x=x%28x%2B2%2F3%29, represents a rectangle with one dimension x and the other dimension x%2B2%2F3. It may be not a square, but you can ADD a term to it so that it becomes a square. The term to add is %282%2F%283%2A2%29%29%5E2=1%2F9. You also must subtract it in order to maintain equality for y.

Continuing toward this,
y=3%28x%5E2%2B%282%2F3%29x%2B1%2F9%29-3%281%2F9%29-8
y=3%28x%2B1%2F3%29%5E2-%283%281%2F9%29%2B8%29
Can you continue this?