Shifting Functions

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

• g(x)=(x=3)²
• g(x)=x²-3
• g(x)=x²+3
• g(x)=3x²

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

• f(x)= 2(x-3)²
• f(x)= 2(x+3)²
• f(x)= 2x²+3
• f(x)= (x-2)²+3

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7
• x³-7
• (x-7)³
• (x+7)³

Tags

CCSS.HSF.BF.B.3

What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit  from the function f(x)=x²+4?

• g(x)=x²+5
• g(x)=(x+1)²+4
• g(x)=(x-1)²+4
• g(x)=x²+3

Tags

CCSS.HSF.BF.B.3