### 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:

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:

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:

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:

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:

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:

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: