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# Graphing Quadratic Equations - PowerPoint PPT Presentation

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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Presentation Transcript

of a

y = ax2 + bx + c

ax2 + bx + c = 0

• Rule 1 (the only rule)

• Find the G.C.F.

• Otherwise, look for something familiar

• “Is the linear term missing?”

• If so, SQUARE ROOTS SEEM GOOD.

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

Don't forget

the

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

• Can be factored from a memorized formula.

• A difference of two squares can be factored.

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

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

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

Solve by factoring.

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

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

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

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

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