7. Graphing Absolute Value Functions
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Start out with the parent function y=∣x∣ and translate/reflect it until it looks like the plot in the graphing calculator.
Equation: y=-∣x+1∣+1
Graphing calculator:
Let's start out with the parent function y=∣x∣ which has its vertex at (0,0).
This does resemble the plot in our graphing calculator. Let's plot it for ourselves to make sure. To enter the equation, we press Y= on our calculator, and then write the equation on one of the rows.
Next, by pressing GRAPH, the calculator will plot the equation.
The calculator displays the standard viewing window. Let's change it to -6≤x≤6 and -4≤y≤4 and press GRAPH again to plot the equation.
We are correct!