Graphing Quadratic Equations
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Graphing Quadratic Equations. General Form of a Quadratic Equation. y = ax 2 + bx + c. Standard Form. ax 2 + bx + c = 0. Factoring and Solving. Rule 1 (the only rule) Find the G.C.F. Otherwise, look for something familiar. If factoring does not seem to be working….

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Graphing quadratic equations

General Form

of a

Quadratic Equation

y = ax2 + bx + c


Standard form
Standard Form

ax2 + bx + c = 0


Factoring and solving
Factoring and Solving

  • Rule 1 (the only rule)

    • Find the G.C.F.

    • Otherwise, look for something familiar


If factoring does not seem to be working
If factoring does not seem to be working…..

  • Ask the following question:

  • “Is the linear term missing?”

  • If so, SQUARE ROOTS SEEM GOOD.


Square root method
Square Root Method

  • If you take the square root of both sides of an equation, then you must get TWO answers.

Don't forget

the


Perfect squared trinomials
PERFECT SQUARED TRINOMIALS

  • “FIRST TERM SQUARED PLUS TWICE THE FIRST TIMES THE LAST PLUS THE LAST TERM SQUARED.”

  • Can be factored from a memorized formula.


Differences of squares
Differences of Squares

  • A difference of two squares can be factored.

  • Remember that the inner and outer terms must be opposites.


Graphing quadratic equations

A manufacturer determines that the number of drills it can sell is given by the formula where p is the price of the drills in dollars.

  • At what price will the manufacturer sell the

  • maximum number of drills?

  • b. What is the maximum number of drills that can be sold?


Factor the expression
Factor the expression. sell is given by the formula where p is the price of the drills in dollars.


Solve by factoring

or sell is given by the formula where p is the price of the drills in dollars.

Solve by factoring.


Solve the equation by finding square roots
Solve the equation by sell is given by the formula where p is the price of the drills in dollars. finding square roots


Solve the equation
Solve the equation. sell is given by the formula where p is the price of the drills in dollars.


Solve the equation1
Solve the equation. sell is given by the formula where p is the price of the drills in dollars.


Solve by completing the square
Solve by completing the square. sell is given by the formula where p is the price of the drills in dollars.


Solve by completing the square1
Solve by completing the square. sell is given by the formula where p is the price of the drills in dollars.


Rewrite in vertex form
Rewrite in Vertex Form sell is given by the formula where p is the price of the drills in dollars.


Rewrite in vertex form1
Rewrite in Vertex Form sell is given by the formula where p is the price of the drills in dollars.