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

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Graphing quadratic equations

Graphing Quadratic Equations


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.


Solve by factoring

or

Solve by factoring.


Solve the equation by finding square roots

Solve the equation by finding square roots


Solve the equation

Solve the equation.


Solve the equation1

Solve the equation.


Solve by completing the square

Solve by completing the square.


Solve by completing the square1

Solve by completing the square.


Rewrite in vertex form

Rewrite in Vertex Form


Rewrite in vertex form1

Rewrite in Vertex Form


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