Alg Topic 10 Practice Test
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a translation in the context of functions?
Back
A translation is a transformation that shifts a graph horizontally, vertically, or both without changing its shape or orientation.
2.
FLASHCARD QUESTION
Front
How do you translate a function 2 units down and 5 units left?
Back
To translate a function 2 units down, subtract 2 from the function's output. To translate it 5 units left, replace x with (x + 5) in the function.
3.
FLASHCARD QUESTION
Front
What is the equation of the function g if f(x) = |x + 5| - 2 is translated 2 units down and 5 units left?
Back
g(x) = |x + 10| - 4.
4.
FLASHCARD QUESTION
Front
What does the equation y = √(x - 5) - 1 represent?
Back
This equation represents a square root function that is shifted right 5 units and down 1 unit.
Tags
CCSS.HSF-IF.C.7B
5.
FLASHCARD QUESTION
Front
What is the slope of the graph of the inverse of the function f(x) = -\frac{1}{5}x - 2?
Back
The slope of the inverse function is the reciprocal of the original slope. Since the original slope is -\frac{1}{5}, the slope of the inverse is -5.
Tags
CCSS.HSF-BF.B.4C
6.
FLASHCARD QUESTION
Front
How do you find the inverse of a function?
Back
To find the inverse of a function, swap the x and y variables and solve for y.
Tags
CCSS.HSF-BF.B.4A
7.
FLASHCARD QUESTION
Front
What is the equation of the inverse function if f(x) = -\frac{1}{3}x - \frac{5}{3}?
Back
The inverse function is f^{-1}(x) = -3x - 5.
Tags
CCSS.HSF-BF.B.4A
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