Absolute Value Functions
On a separate piece of graph paper, graph y = -|x + 1|; then click on the graph until the correct one appears.
Upside down house, uneven because the right line is longer.
absolute value
the distance that a number is from zero on the number line; always positive
Choose the equation of the graph shown below:
y = |x + 1| - 3
Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x| - 4?
4 units down
Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|?
7 units left
Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x - 1| - 1?
1 unit right and 1 unit down
On a separate piece of graph paper, graph y = |x - 3|; then click on the graph until the correct one appears.
It's going down left to right all the way to the line before it shoots up again.
On a separate piece of graph paper, graph y = |x| - 1; then click on the graph until the correct one appears.
Looks like a stick person with it's arms to the sky
On a separate piece of graph paper, graph y = -|x| + 1; then click on the graph until the correct one appears.
Looks like the roof of a house. It's moved up one from the (0,0) line.
translation
a shift or slide of a graph in the coordinate plane
If the graph of y = |x| is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?
y = |x| + 3