Reflections and Dilations of Absolute Value Functions Answers
Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?
all real numbersall numbers greater than or equal to 2✔ all numbers less than or equal to 2
Question text not available
all real numbers✔ all real numbers greater than or equal to 0all real numbers greater than or equal to 0.5
all real numbers✔ all real numbers greater than or equal to 0all real numbers greater than or equal to 0.5
Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.f(x) = |x|f(x) = |x – 2|f(x) = |x| + 3f(x) = 2.9|x|f(x) = 1.2|x + 8|f(x) = 0.7|x| – 3.2
Which graph represents the function f(x) = 2|x|?
Which is the equation of the function?f(x) = 3|x| + 1f(x) = 3|x – 1|f(x) = |x| + 1f(x) = |x – 1|
✔ all real numbersall numbers greater than or equal to 2all numbers less than or equal to 2
Which function is represented by the graph?|–x + 3|–|x + 3|–|x| + 3|–x| + 3
The graph of f(x) = |x| has been stretched by a factor of 2.5. If no other transformations of the function have occurred, which point lies on the new graph?
Which statements are true about the function f(x) = –|x| – 2? Check all that apply.The parent function and this function open in the same direction.The parent function and this function have the same range.The parent function and this function have the same domain.The range of the function is all real numbers less than or equal to –2.The domain of the function is all real numbers greater than or equal to –2.There are no values from the domain of the parent function that are also in the domain of this function.
The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.
Both Shawn and Brielle are correct. The functions f(x) = 2|-x| and f(x) = 2|x| are equivalent because the absolute value of a number is the same as the absolute value of its opposite (|-x| = |x|). When you substitute the points (1, 2), (0, 0), and (–1, 2) into both equations, they yield true statements. Graphically, f(x) = 2|-x| represents a reflection of f(x) = 2|x| across the y-axis, and since the absolute value parent function is already symmetric with respect to the y-axis, the graphs are identical.
Sample Response: Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements. What did you include in your response? Check all that apply.Both Shawn and B
✔ all real numbersall real numbers greater than or equal to 0all real numbers greater than or equal to 0.5
Did you find these answers helpful?
TRY EDGENUITY HACKS
- Auto Complete Exams
- Auto Complete Assignments
- Skip Videos Instantly