Graphs of Transformation Functions

Name the function in red.

• y = k f(x), where k > 0

• y = - f(x), where k > 0

• y = f(- x), where k > 0

• y = f(x) + k, where k > 0

• y = f(x) - k, where k > 0

Tags

CCSS.HSF.BF.B.3

Name the function in red.

• y = f(kx), where k > 0

• y = - f(x), where k > 0

• y = f(- x), where k > 0

• y = f(x) + k, where k > 0

• y = f(x) - k, where k > 0

Tags

CCSS.HSF.BF.B.3

Name the function in red.

• y = f(- x), where k > 0

• y = - f(x), where k > 0

• y = f(x) + k, where k > 0

• y = f(x) - k, where k > 0

• y = f(x + k), where k > 0

Tags

CCSS.HSF.BF.B.3

Name the function in red.

• y = - f(x), where k > 0

• y = f(- x), where k > 0

• y = f(x) + k, where k > 0

• y = f(x) - k, where k > 0

• y = f(x + k), where k > 0

Tags

CCSS.HSF.BF.B.3

If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7

• y = (x - 4)² + 7

• y = (x + 7)² - 4

• y = |x + 4| - 7

The blue graphs 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

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²