Transformations

Given  $f\left(x-3\right)+5$  . What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

 $3f\left(x-2\right)$  Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical shrink by a factor of 3

• horizontal shift to the left 2 and vertical shrink by a factor of 3

If the yellow curve has equation $f(x)=x^2$  

• Then the blue curve is  $f(x)=x^2-c$  

• Then the blue curve is  $f(x)=(x+c)^2$  

• Then the blue curve is  $f(x)=(x-c)^2$  

• Then the blue curve is  $f(x)=x2+c$  

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

• a reflection across the line x = -4
• a reflection across the line y = -4
• 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

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units
• Shift down 4 units
• Shift left 4 units
• Shift right 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2