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3 Methods of Writing a Quadratic Equation

I.  When you are given a point (x, y) and a vertex (h, k)

• Write the standard form of a parabolic equation here
• Write the steps for the process here
• Write what variable you are solving for here

II.  When you are given the x intercepts p and q and a point (x,y)

• write the equation for solving for a here

III.  Given three points

• Write the steps, given three points....
• Describe how you will find the three equations
• Here's how to solve 3 equations with three variables
• What does your final answer look like?

Colby Smith, Montlick & Associates' Athlete Of The Week.mp4

Graphing Quadratic Equations

The standard form of a quadratic equation is:

y  =  x² + bx + c

The standard form of a parabolic equation is:



y  =  a(x - h)²  + k

vertex (h, k)

• Changing a...if you change a, it makes the graph open up or down
• Up when a is positive
• Down when a is negative
• Fractions (0 < a < 1) make the parabola wider
• Numbers (a > 1) make the graph narrower

• Changing h...h is the number inside the parenthesis that moves the parabola to the right or left
• you have to move it in the opposite direction

So

• if you have (x + 2)² the graph moves two places to the left
• if you have (x - 3)² the graph moves three places to the right

• Changing k...k is the number outside the parenthesis that moves the parabola up or down

So

• if you have (x)² + 2 the graph moves up two places
• if you have (x)² - 3 the graph moves down three places

Example of Presentations

Graphing Linear equations

To graph a linear equation you solve the equation for y.

y = mx + b is called slope intercept form...

b = (0, b) where you go on the y axis

m = slope  pos - up and to the right

                 neg - up and to the left

Here is the equation y = 5x + 7

Happy Holiday Season

Panther style

Describe the solutions to the discriminant in the three graphs

Quadratic Formula Calculator

The Discriminant of each of the following can be calculated by plugging into the formula

b²-4ac

Point of concurrency in a triangle