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

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

g(x)=f(x)+6
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated up 6.
• f(x) has been translated down 6.

Tags

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

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

• f(x) has been translated to the left 5.
• f(x) has been translated to the right 5.

Tags

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

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

• f(x) has been translated to the left 5.
• f(x) has been translated to the right 5.

Tags

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

How did the equation shift from the parent function? y=x+2

• up 2
• down 2
• steeper
• flipped

Tags

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

Which equation below is a quadratic function translated up 5 units?

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

Tags

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

Determine the transformation

• Stretch by factor of 2, left 3
• Shrink by factor of 2, left 3
• Stretch by factor of 2, right 3
• Shrink by factor of 2, right 3

Tags

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

What is the phase shift for y = 4cos(¹/₂x +π) - 2?

• left π/2

• right π/2

• right 2π

• left 2π

Tags

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

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

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