Transformations of Functions

Front

The blue graph is the parent function f(x)=|x|, the red must be: g(x)=|x+2|, g(x)=|x|+2, g(x)=|x-2|, g(x)=|x|-2

Back

g(x)=|x-2|

Front

If the blue graph is the parent function, what is the equation of the red (transformed) function? Options: g(x)=x³+1, g(x)=x³-1, g(x)=(x-1)³, g(x)=(x+1)³

Back

g(x)=(x-1)³

Front

Which equation shows a function that is translated left 4 and 7 up? Options: y = |x + 4| + 7, y = (x - 4)² + 7, y = (x + 7)² - 4, y = |x + 4| - 7

Back

y = |x + 4| + 7

Front

Name the parent function: linear, quadratic, absolute value, cubic

Back

absolute value

Front

Name the parent function: constant, square root, linear, absolute value

Back

absolute value

Front

Name the parent function: absolute value, cubic, quadratic, square root.

Back

quadratic

Front

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which is the equation for g(x)? Options: g(x)=3x², g(x)=1/3x², g(x) = x² - 3, g(x) = (x-3)²

Back

g(x) = x² - 3

Front

The blue graph is the parent function f(x)=|x|, the red must be: g(x)=|x+2|, g(x)=|x|+2, g(x)=|x-2|, g(x)=|x|-2

Back

g(x)=|x-2|

Front

What do you call a cow with no legs?

Back

ground beef

Front

What are the domain and range?

Back

Domain: {x | all real numbers} Range: {y | y ≤ 4}