Transformations of Functions

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

Tags

CCSS.HSF.BF.B.3

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

. 
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

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the y-intercept

• (0, -3)

• (0, 1)

• (0, 3)

• (2, 1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the graph?

• All real numbers
• To infinity and beyond
• y ≥ 0
• x ≥ 0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

• All real numbers
• To infinity and beyond
• y ≥ 0
• x ≥ 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the graph?

• All real numbers
• To infinity and beyond
• y ≥ -1
• x ≥ 0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

• All real numbers
• To infinity and beyond
• y ≥ -1
• x ≥ 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7