Transformations of Functions

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)?  $f\left(x\right)=2x+1$   $g\left(x\right)=2x+4$  

• up 3

• down 3

• up 5

• down 5

• right 4

Tags

CCSS.HSF.BF.B.3

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)?  $f\left(x\right)=\left(2x+1\right)$   $g\left(x\right)=\left(2x+4\right)$  

• left 3

• right 3

• left 5

• right 5

• right 4

Tags

CCSS.HSF.BF.B.3

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)?  $f\left(x\right)=x-7$   $g\left(x\right)=x+2$  

• left 3

• up 2

• left 5

• up 9

• down 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)?  $f\left(x\right)=x+4$   $g\left(x\right)=x+3$  

• left 3

• up 2

• left 5

• up 7

• down 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)?  $f\left(x\right)=\left(x-6\right)$   $g\left(x\right)=\left(x-7\right)$  

• left 3

• right 1

• left 1

• up 7

• down 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did the equation shift from the parent function?

y = f(x) + c

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

Tags

CCSS.HSF.BF.B.3

If the blue is f(x)=x^2, the red must be

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

Tags

CCSS.HSG.CO.A.2

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.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3