Transformations of Functions

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

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

• Narrows and vertex left 3 and up 10

• Widens and vertex moves left 3 and up 10

• Reflect

• Move up 5

Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)² + 12

• widen
• neither
• narrow

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

• up
• down

Tags

CCSS.HSF-IF.C.7A

Which quadratic function is represented by the graph?

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

Tags

CCSS.HSF-IF.C.7A

If the blue graph is
f(x) = x² 
then the red must be...

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

What transformations have occurred? 

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

What is the domain of the function in this graph?

• (-infinity, 3]
• [3, inifinity)
• (-infinity, 0]
• [0, infinity)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function in this graph?

• (-infinity, 3]
• [3, infinity)
• (-inifnity, 0]
• [0 infinity)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5