Graphing Absolute
Value Functions
Vocabulary
Linear Functions
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100

Identify the vertex and slope of the following function and graph it.

y= |x-3|+4


Vertex : (3,4).      Slope: 1

100

What is slope?

Rise over run

100

Solve for y.

-4x - 3y = -12

y=4/3x+4

100

Solve the system using ELIMINATION

x+2y=4

-x-4y=2

(10,-3)

100

Identify the vertex and slope from the equation.

y = 2|x| - 1

V: (0,-1)

a: 2/1

200

Identify the vertex and slope of the following function and graph it.

y=-|x-4|+1

Vertex: (4,1).       Slope: -1

200

What is Y-intercept?

Where a line crosses the y-axis.

200

Identify the slope and y-intercept of the line.

y = -x + 2

Then graph the line.

m= -1, b= 2

See graph.

200

What are the three methods to solve systems?

graphing, substitution, elimination

200

Identify the vertex and slope from the equation.

y = |x - 8| + 2

V: (8,2)

a: 1/1

300

Identify the vertex and slope of the following function and graph it.

y=2|x+5|-3

Vertex: (-5,-3).      Slope: 2

300

Define Vertex for absolute value functions.

Center of the V-shaped graph or (h,k)

300

What is slope-intercept form?  Identify the parts of the formula.

y=mx+b

m=slope

b=y-intercept

300

If I wanted to purchase a $100 statue that was on sale for 20% off, what would I end up paying before taxes?

$80

300

Graph.

y > 2x + 1

See graph.

400

Identify the vertex and slope of the following function and graph it.

y= 3|x+2|-5


Vertex: (-2,-5)    Slope: 3

400

Define axis of symmetry

vertical line going through the vertex 

400

Graph 2y - x = 4.

See graph for y=1/2x + 2.
400

If I paid $25 for a video game at Target, then what was my final price with tax?  The sales tax is 8.25% in Merced.

$27.06 in total

400

Identify the vertex and slope from the equation.

y = -|x+2| + 4

V: (-2,4)

a: -1/1

500

Identify the vertex and slope of the following function and graph it.

y=-2|x-2|+4

Vertex: (2,4).     Slope: -2

500

Absolute Value Vertex Form & what is your vertex?

y = a|x-h|+k

(h,k)

500

Graph 3x + 5y = 15.

See graph for y = -3/5x + 3

500

Solve the system using any method.

y=-1/2x+4

x+2y=-12

No solution

500

List the steps to graph the following equation.

y= -1/2|x - 6| - 2

1. Plot the vertex (6,-2)

2. Rise/Run with -1/2

3. Mirror

4. Make V-shaped graph

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