Graph Absolute Value Functions

Worksheet by Madeline Frazier
Graph Absolute Value Functions Grade 10 worksheet preview
Subjects
Math
Grades
Grade 10
Language
ENG
Assignments
168 classrooms used this worksheet

You must complete the whole worksheet. This assignment only asks for part of it. You must still answer all the questions and fill in all the parts of your worksheet. Graph absolute value notes Create the parent function of the absolute value below. Use the part of the parent functions that are in our notes. Put x values in the left column and y values in the right column. -2 2 -1 1 0 0 1 1 2 2 #1Fill in the information that should be mirrored on your worksheet. There are multiple choice questions about #1 below -1 4 (3,4) #1 f(x)=-|x-3|+4 Describe the transformations applied to the parent function to create f(x) Reflect across the y-axis, right 3, up 4 Reflect across the y-axis, left 3, down 4 Reflect across the x-axis, left 3, up 4 Reflect across the x-axis, right 3, up 4 #2Fill in the information that should be mirrored on your worksheet. There are multiple choice questions about #2 below 6 -1 x=-1 #2 What is the domain of the function above? [-5, ∞) (-∞, ∞) [-1,∞) (-∞,1) #3Fill in the information that should be mirrored on your worksheet. There is a multiple choice question about #3 below. -4 2 (0,4) #3 What is the range of the graph above? (-∞,∞) (4,∞) (-∞,4] [0,∞) #4Fill in the information that should be mirrored on your worksheet. There is a multiple choice question about #4 below. 0 1 x=0 #4 f(x)=2|-x|-1 Describe the transformations from the parent function to f(x) vertical stretch of 2, reflect across the y-axis, down 1 vertical stretch of 2, reflect across the x-axis, down 1 horizontal stretch of 2, reflect across the y-axis, down 1 horizontal compression of 1 reflect across the x-axis, down 1 #5Fill in the information that should be mirrored on your worksheet. There is a multiple choice question about #5 below. 5 2 (2,1) #5 What is the domain of the function above? [1, ∞) (-∞, ∞) [1,∞) (-∞,2) #6Fill in the information that should be mirrored on your worksheet. There is a multiple choice question about #6 below. 6 -3 x=-4 #6 What is the range of the graph above? (-∞,∞) (4,∞) (-∞,4] [0,∞) Write the equation for the absolute value.7. f(x) has a vertical compression of 1 and is translated right 2 and up 1 f(x)=|2(x-2)|+1 f(x)=|1 f(x)=2|x+2|-1 f(x)=1 Write the equation for the absolute value.8. f(x) is reflected across the x axis with a vertical stretch of 2 and translated right 4. f(x)=|-2(x-4)| f(x)=-|1 f(x)=-2|x-4| f(x)=1 Write the equation of the absolute value.9. is reflected across the y axis and has a horizontal stretch of 3 and translated up 3 f(x)=|-1 x|+3 f(x)=|-3 (x+3)| f(x)=-3|x|+3 f(x)=-1 |x|+3

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