Translating Parabolas

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

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)=x²+5 ?

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

• y=(x-2)²+3
• y=(x-2)²-3
• y=(x+2)²+3
• y=(x+2)²-3

• y=(x-4)²+1
• y=(x-4)²-1
• y=(x+4)²+1
• y=(x+4)²-1

• y=(x-1)²+5
• y=(x-1)²-5
• y=(x+1)²+5
• y=(x+1)²-5

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

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