Basic Transformations of Functions

What is the name of this function?

• Absolute Value

• Cubic

• Quadratic

• Sine

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the name of this funciton?

• linear

• quadratic

• square root

• absolute value

Tags

CCSS.HSA.REI.B.4

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

If the blue function is f(x), what is the equation of the red function.

• g(x)=f(x + 3)

• g(x)=f(x - 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Tell how the function transformed from y =|x|

y = -2|x|

• Translated left 2 units

• Reflected over x-axis

• Stretched vertically by a factor of 2 and reflected over x-axis

• Compressed vertically by a factor of 2 and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with -f(x)?

• Nothing happens, it stays the same.
• Narrower

• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How did we transform from f(x) =x²

to

g(x) = 1/3(-x)²

• reflection in x-axis and vertical compression

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection y-axis and vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Match the description to its equation:

moves down 3

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3