Quadratic Transformations

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which quadratic function is represented by the graph?

• y = (x - 4)² + 5
• y = (x + 4)² + 5
• y = -(x - 4)² + 5
• y = -(x + 4)² + 5

How did we transform from y=x² to
y = -3x²

• Flips and makes the graph skinny
• Flips and makes the graph wide
• Moves the function down 3
• Moves the function right 3

Tags

CCSS.HSF.BF.B.3

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Tags

CCSS.HSG.CO.A.2

What is the transformation of the function?

• horizontal shift to the right 2 and vertical shift up 4
• horizontal shift to the right 2 and vertical shift down 4
• horizontal shift to the left 2 and vertical shift up 4
• horizontal shift to the left 2 and vertical shift down 4

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

• left 3
• right 3
• left 5
• right 5

Tags

CCSS.HSF.BF.B.3

What is the horizontal shift of this equation?
y = 3/4 (x - 5)² + 12

• up 5
• down 5
• left 5
• right 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertical shift of this equation?
y = 3/4 (x - 5)² + 12

• up 12
• down 12
• left 12
• right 12

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does the graph of this equation open up or down?
y = 3/4 (x - 5)² + 12

• up 
• down 

Tags

CCSS.HSF-IF.C.7A