Transformations of Quadratic Functions 1

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 occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• Yes, "+3" on the end of the function moves the function to the right 3 units
• No, "+3" on the end of the function moves the function to the left 3 units
• No, "+3" on the end of the function moves the function to the down 3 units
• No, "+3" on the end of the function moves the function to the up 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=f(x - 3)
• g(x)=f(x) - 3
• g(x)=f(x) + 3
• g(x)=3f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=f(x + 3)
• g(x)=f(x - 3)
• g(x)=f(x) + 3
• g(x)=f(x) - 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Use transformations to identify the equation of the graph shown.

• f(x) = (x - 5)² - 2

• f(x) = (x + 5)² - 2

• f(x) = (x - 5)² + 2

• f(x) = (x + 5)² + 2

Use transformations to identify the equation of the graph shown.

• f(x) = (x + 3)² - 8

• f(x) = 3(x + 3)² - 8

• f(x) = (x - 3)² - 8

• f(x) = 2(x - 3)² - 8

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

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.HSF.BF.B.3