Graphing Absolute Value Equations How do I make one of those V graphs?

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Presentation transcript:

Graphing Absolute Value Equations How do I make one of those V graphs?

What does the graph look like? V Minima – lowest point of graph Vertex = minima Sides are linear /\ Maxima – highest point of graph Vertex = maxima Sides are linear vertex

How do I graph the Equation? X-coordinate of the vertex is the value of Plug in the value of x and solve for y This the ordered pair for the vertex (x,y)

How do I graph the equation cont. Next, find x values to the left of the vertex and to the right of the vertex Solve for the y values

How do I graph the equation cont. Lastly, plot the points and connect them forming a V or /\

vertex (1, 2) Example 1. Find vertex x – 1 = 0 x = 1

vertex Example Find x-coordinates to left and right, then solve for y- coordinate (1, 2) X0123 Y43234 Left of vertex Right of vertex

Example Plot the points X0123 Y43234

Translations Parent Function

More Translations Vertical Translation Up

Even More Translations Vertical Translation Down

Yet, Even More Translations Horizontal Translation Left

Again…Translations Horizontal Translation Right

Translations…. Vertical Compression (Think Slope) a>1

Will the Translations End??! Vertical Stretch (Think Slope) a<1

Finally, the Last Translation Reflection (Think Slope) a<0

Recap