Graphing Linear/Quadratic Equations April 18 th, 2013.

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Graphing Linear/Quadratic Equations April 18 th, 2013

Warm Up 1) Write in set and interval notation:1) Write in set and interval notation: “The set of x such that x is greater than or equal to 5 or less than - 2” Complete the tables for the equations & sketch the graphs:Complete the tables for the equations & sketch the graphs: 2) f(x) = 3x - 23) f(x) = x 2 - 5x + 6 XY XY

Linear Equations A linear equation is in the form of y = mx + b or f(x) = mx + b.A linear equation is in the form of y = mx + b or f(x) = mx + b. “m” represents the slope = rise/run“m” represents the slope = rise/run “b” represents the y-intercept“b” represents the y-intercept You can graph a linear equation by starting with the y- intercept. From this point use your slope to find the next point.You can graph a linear equation by starting with the y- intercept. From this point use your slope to find the next point. If your slope is positive: go up, then to the rightIf your slope is positive: go up, then to the right If you slope is negative: go down, then to the rightIf you slope is negative: go down, then to the right

Examples Graph y = 5x - 3Graph y = 5x - 3Graph f(x) = -1/2x + 4

You Try! Graph f(x) = 2/3x - 2Graph f(x) = 2/3x - 2Graph y = -x + 3

Review: Find the domain/range of the following graphs! Domain: Domain: Domain: Range: Range: Range: Most of the time for linear graphs the domain/range will be all real numbers, but you should look at your graph to see if there are any restrictions!

Matching Activity With the person next to you match the equation with the correct graph and the correct domain and range!With the person next to you match the equation with the correct graph and the correct domain and range! So for each graph you should write down three matching items from the boxes.So for each graph you should write down three matching items from the boxes.

Quadratic Equations Quadratic equations come in two forms:Quadratic equations come in two forms:  Standard Form: f(x) = ax 2 + bx +c  Vertex Form: f(x) = a (x - h) 2 + k

Quadratic Equations In standard form “c” is the y-intercept.In standard form “c” is the y-intercept. The vertex can be found using –b/2aThe vertex can be found using –b/2a

Examples

You Try!