Big Ideas Math Algebra 1, 2015
BI
Big Ideas Math Algebra 1, 2015 View details
7. Graphing Absolute Value Functions
Continue to next subchapter

Exercise 3 Page 155

Let's start out with the parent function which has its vertex at

Examining the calculator window, we see that its plot is upside down compared to the parent function. To turn the parent function upside down, we have to reflect it in the axis. This can be done by multiplying the absolute value by
Let's show the reflection of the parent function.
The plot from the calculator reaches its vertex at To move the vertex from to this location, we have to translate the graph vertically one step up by adding to the function:
Finally, we have to translate the function horizontally one step to the left. To do that we add to
Let's show these two translations.

This does resemble the plot in our graphing calculator. Let's plot it for ourselves to make sure. To enter the equation, we press on our calculator, and then write the equation on one of the rows.

Fönster med funktioner

Next, by pressing GRAPH, the calculator will plot the equation.

Fönster med en graf

The calculator displays the standard viewing window. Let's change it to and and press GRAPH again to plot the equation.

Fönster med en graf

We are correct!