Transforming Graphs

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4
• f(x)=(x-3)²-4
• f(x)=(x+4)²-3
• f(x)=(x-4)²-3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left
• Horizontal translation: three units to the right
• Vertical translation: three units up
• Vertical translation: three units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

How has the parent graph y= $x^2$  been transformed?

• y=(x-4)²+1

• y=(x-4)²-1

• y=(x+4)²+1

• y=(x+4)²-1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

How would you describe the translation from f(x)=x²+2  to  f(x)=x²+7 ?

• Vertical translation: up 2 units
• Vertical translation: up 5 units
• Vertical translation: up 7 units
• Vertical translation: up 9 units

How would you describe the translation from    f(x)=(x-2)² to  f(x)=(x+3)² ?

• Horizontal translation: to the right 3 units
• Horizontal translation: to the left 2 units
• Horizontal translation: to the left 5 units
• Horizontal translation: to the right 5 units

Describe the translation from f(x)=(x+2)²-3  to  f(x)=(x-3)²-5

• Five units to the right, 2 units up
• Five units to the right, 2 units down
• Five units to the left, 2 units up
• Five units to the left, 2 units down

Which equation shows a function that has been translated left 4 and 7 up?

• y = |x + 4| + 7

• y = (x - 4)² + 7

• y = (x + 7)² - 4

• y = |x + 4| - 7

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = 2x²
• B.  g(x) = 1/2x²
• C.  g(x) = x² + 2
• D.  g(x) = (x + 2)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

Describe the transformations that map  $y=x^2$  to:

• Translation left 1 unit, Vertical Stretch, Translation down 1 unit

• Vertical Compression, Translation right 1, Translation down 1

• Vertical stretch, Translate right 1 unit, Translation down 1 unit

• Translation left 1 unit, Horizontal stretch, Translation down 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

• moves right 3, Vertical Stretch , and down 4

• Horizontal stretch, moves right 3, and down 4

• moves right 3, Horizontal compression, and down 4

• Vertical stretch, moves left 3, and down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.2

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.4