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Kansas State Polytechnic

0.4 Graphing Linear and Quadratic Equations

1: Graphing Linear Equations using Slope and y-intercept

This video covers:
*What the slope-intercept and standard from of a linear equation is and how they are related
*What each variable in the slope-intercept from represent
*The slope formula
*How to find the y-intercept
*The steps to using the slope and y-intercept to form a linear graph

Examples:
Graphing Linear Equation Equations

 


2: Writing Linear Equations using y=mx+b

This video covers:
*How the slope and y-intercept can be used to find the equation of a line
*The difference between equation and function notation
*How the visual of a graph can help find the equation of a line
*How you can use your slope-intercept equation and any point along with slope can give the equation of a line

Examples:
Writing Linear Equations 1

 


3: Writing Linear Equations using the point-slope formula

This video covers:
*Review of all linear equations
*Introduction of the point-slope formula and how it is derived
*Using the point-slope formula to find the equation of a line (given point and slope)
*Reviewing all three different methods to write an equation of a line
*The advantages and disadvantages of each methods to write an equation of a line
*Review of the slope formula, and using the formula to find the slope between two points
*How to check the equation by graphing

Examples:
Writing Linear Equations 2

 


 

4: Checking Equations with your graphing calculator

 

This video covers:
*How to check the equation of a line by using your graphing calculator
*How to enter in the equation in the graphing calculator
*How to use the calculator to check if it goes through designated ordered pairs
*What the trace button on the graphing calculator does

Examples:
Graphing Calculator

 


 

 5: Graphing Quadratic Equations using the Vertex Form

This video covers:
*What the shape and name of a graph of a quadratic equation is
*The most important details of parabola
*The vertex form of a quadratic equation and how it gives you the most important details
*Review of how to find x and y-intercepts
*How to use the all details to sketch the graph of a quadratic function

Examples:
Vertex Form Example

 


6: Graphing Quadratic Equations not in the Vertex Form (optional)

This video covers:
*How to get the vertex from a quadratic equation not in the vertex form by
*Completing the Square. You may skip over this!! (0:45 to 5:30)
*The vertex formula
*Review of how to find the x and y-intercepts
*Why you might need to use the quadratic formula and how to come up with approximations
*Finding the Axis of Symmetry, Maximum or Minimum, Domain and Range 

Examples:
Quadratic Non-vertex Form Example


7: Graphing Quadratic Equations using the Vertex Formula

This video covers:
*Review of the vertex formula to find the vertex
*Review of how to find the x and y-intercepts
*Why you might need to use the quadratic formula
*How to use the all details to sketch the graph of a quadratic function
*Finding the Axis of Symmetry, Maximum or Minimum, Domain and Range

Examples:
Quadratic Vertex Formula Example