Graphing Absolute Value Equations

Write the vertex form of an absolute value graph that has a vertex of (-2, 7) and a slope on the right side of 1/1.

Choose 2 that are correct.

•  $y=\ -2\left|x\right|+7$  

•  $y=\ 1\left|x--2\right|+7$  

•  $y=\ \left|x+2\right|+7$  

•  $y=-\ 1\left|x-2\right|-7$  

Tags

CCSS.HSF-IF.C.7D

Write the vertex form equation of an absolute value function with a slope of 5 and a vertex of (-2, 6).

• $y=\ -5\left|x\right|+6$

• $y=\ -\left|x-2\right|+6$

• $y=\ 5\left|x+2\right|+6$

• $y=\ 5\left|x-2\right|$

Tags

CCSS.HSF-IF.C.7D

How else could you write this equations? y=|x−2|

• y = 1| x - 2| + 0

• y = 1| x - 2| + 1

• y = 1| x- +2| + 2

• y = -1| x - 2| + 0

Describe the vertex and slope.

y=|x+2|+2

• The vertex is (-2, 2) and the slope is 1, meaning you go left 2 and up 2 to plot the vertex and you rise 1 and run one to plot more points on the right side of the graph.

• The vertex is (2, 2) and the slope is -1, meaning you go right 2 and up 2 to plot the vertex and you rise down 1 and run one to plot more points on the right side of the graph.

Tags

CCSS.HSF-IF.C.7D

Describe the transformations

y=−|x|+4

• This opens down because "a" is negative and the vertex is translated right 4 because the vertex is (4, 0)

• This opens down because "a" is negative and the vertex is translated down 4 because the vertex is (0, -4)

• This opens down because "a" is negative and the vertex is translated up 4 because the vertex is (0, 4)

• This opens down because "a" is negative and the vertex is translated left 4 because the vertex is (-4, 0)

What's the transformation?

y=|x−2|

• It shifted Left 2 units because the vertex is (0, 2)

• It shifted Right 2 units because the vertex is (2, 0)

• it translated Up 2 units because the vertex is( -2,-2)

• It slid Down 2 units because the slope is 1

When describing transformations, we compare to the graph of the "Parent Function", which has a vertex at the origin (0,0) and a slope of 1/1 on the right side

Choose all that apply.

• True that

• Always true

• Positively Truth

The "h" value is a weirdo ! It's always the opposite of what appears in the vertex formula.

• true

• false

• bologna is good

Click on the graph that shows you y=|x+1|−4

Click on the graphs to zoom in!

Tags

CCSS.HSF-IF.C.7D

y=−|x+4| Hint: this equation can also be written as:

 $y=\ -1\left|x--4\right|+0$  

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D