CCSS.Math.Content.HSF.BF.B.3

g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

Tags

CCSS.Math.Content.HSF.BF.B.3

y = |x - 3| makes the graph slide . . .

• left 3
• right 3
• up 3
• down 3

Tags

CCSS.Math.Content.HSF.BF.B.3

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

• Vertical Stretch of 5
  Down 2
• Vertical Shrink of 5
  Up 2
• Vertical Stretch of 5
  Up 2
• Vertical Shrink of 5
  Down 2

Tags

CCSS.Math.Content.HSF.BF.B.3

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Tags

CCSS.Math.Content.HSF.BF.B.3

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the x-axis
• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.Math.Content.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.Math.Content.HSF.BF.B.3

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Tags

CCSS.Math.Content.HSF.BF.B.3

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x-3

• shifted up three units
• shifted down three units
• shifted left three units
• shifted right four units

Tags

CCSS.Math.Content.HSF.BF.B.3

What does a negative A value cause?

• A negative amplitude
• A reflection across the Y axis
• No effect
• A reflection across X axis

Tags

CCSS.Math.Content.HSF.BF.B.3

The graph of the function  $y\ =\ \frac{1}{2}x-3$    is shown above. If the line is translated 2 units up, which equation will best describe the new line?

•  $y=\frac{1}{2}x-5$  

•  $y=\frac{1}{2}x\ +\ 5$  

•  $y=\frac{1}{2}x+3$  

•  $y=\frac{1}{2}x-1$  

Tags

CCSS.Math.Content.HSF.BF.B.3