Transformations of Quadratic Functions

. 
If the blue is f(x)=x^2, 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.REI.B.4

CCSS.HSA.REI.D.11

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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

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

What is the transformation that changes the graph of f(x) = x² to g(x) = -x² + 3?

• Reflection over the x-axis and vertical shift down 3 units

• Reflection over the y-axis and vertical shift down 3 units

• Reflection over the x-axis and vertical shift up 3 units

• Reflection over the y-axis and vertical shift up 3 units

If the function f(x) = x² is transformed to g(x) = (x - 3)² - 2, what transformations have occurred?

• Shift right 3 units and down 2 units

• Shift left 3 units and up 2 units

• Shift right 3 units and up 2 units

• Shift left 3 units and down 2 units

Describe the transformation from dotted to solid.

• f(x + 5) + 3
• f(x +3) + 5
• f(x - 5) + 3
• f(x - 3) + 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift up 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift up 4

Tags

CCSS.HSF.BF.B.3

 Given g(x) = f(x-3) + 5.  What transformations took place from the original function f(x)?

• Left 3 up 5

• Right 3 down 5

• Left 3 down 5

• Right 3 up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2