Lesson 1
Describe this transformation
y = |x - 2| + 1
What is went to the right 2 and up 1
What is the solution to this absolute value function?
|3x| = 9
What is {3, -3}
Solve this absolute value inequality:
−4|3x − 1| ≥ 8
What is No Solution
Would this graph's shading be above or below?
y > 4|x - 4| +5
What is above
What does a negative on the outside do?
What is reflect over the x-axis
Write the equation for this transformation
vertex at (3, -5), opening down, vertically stretched by a factor of 2.
What is -2|x - 3| - 5
Solve this absolute function equation.
|x| = −2
What is No solution.
Solve this absolute value inequality:
|x + 3| < 18
What is -21 < x < 15
What you have greater than or equal to/less than or equal to sign, would you have a solid line or dashed line?
What is solid line
What directions does this show?
|x + or - h|
What is left or right
Describe the transformation
y = -|x - 6| + 2
What is reflected over the x-axis, went right 6 and up 2
Solve this absolute function equation:
|7 − 7b| = 0
What is 1
Solve this absolute value inequality:
|2x + 7| > 5
What is x > -1 or x < -6
When I have a < or >, what line will I have, solid or dashed?
What is dashed
If the number is outside of the function, such as 3|x|, is it a vertical stretch or horizontal stretch?
What is vertical stretch
Write the equation for this transformation
vertex moved left 9, up 4, opening down, vertically compressed by a factor of 0.5.
What is y = -0.5|x + 9| + 4
Solve this absolute value equation:
8 − 8|6 + 3x| = −88
What is {2, -6}
Solve this absolute value inequality:
|3x + 7| - 3 < 8
What is -6 < x < 4/3
During a recent visit to the veterinarian’s office, Mrs. Van Allen was informed that a healthy weight for her cat is approximately 10 pounds, plus or minus one pound. Write an absolute value inequality that represents unhealthy weights w for her cat.
What is | x - 10| > 1
What sign is it when a function goes up?
What is a + sign
Describe this transformation
y = -4|x + 7| + 23
What is reflected over x-axis, vertically stretched by 4, went to the left 7 and went up 23
Solve this absolute value equation:
3 |−8x|+ 8 = 80
What is {-3,3}
Solve this absolute value inequality:
−5|2x + 2| − 3 ≥ −3
What is -1
Students’ scores on an Algebra 2 exam ranged from 60 to 100. Let 𝑒 be the exam score of a randomly selected Algebra 2 student. Which of these absolute value inequalities represents all of the possible values of 𝑒?
A |𝑒 − 80| ≤ 20
B |𝑒 + 80| ≤ 20
C |𝑒 − 20| ≤ 80
D |𝑒 + 20| ≤ 80
What is A
When a or b is greater than 1, is it a stretch or a compression
What is stretch