Transformations of Rational Functions (the 'a' factor)

How was this function transformed from the parent rational function:  $y=\left(3\right)\frac{1}{x}$  

• Compressed by a factor of 3

• Stretched by a factor of 3

• Shifted up by 3

• Shifted down by 3

Tags

CCSS.HSF.BF.B.3

How was this function transformed from the parent rational function?  $y=\left(\frac{1}{4}\right)\frac{1}{x}$  

• Shifted left by 1/4

• Shifted up by 1/4

• Compressed by a factor of 1/4

• Stretched by a factor of 1/4 

Tags

CCSS.HSF.BF.B.3

How is this rational function transformed from the parent function:  $y=\frac{3}{x}$  

• Stretched by a factor of 3

• Compressed by a factor of 3

• Shifted up by 3

• Shifted down by 3

Identify the transformation(s) from the parent function f(x)=1/x:  $\ \ f\left(x\right)=\frac{1}{2}\left(\frac{1}{x}\right)$  

• Stretched by a factor of 2

• Shifted up by 2

• Shifted down by 2

• Compressed by a factor of 1/2

Identify the transformation(s) from the parent function f(x)=1/x:  $f\left(x\right)=2\left(\frac{1}{x}\right)$  

• Shifted up by 2

• Compressed by a factor of 2

• Stretched by a factor of 2

• Shifted up by 2

Identify the transformation(s) from the parent function f(x)=1/x:  $f\left(x\right)=\frac{5}{x}$  

• Shifted up by 5

• Stretched by a factor of 5

• Compressed by a factor of 5

• Shifted right by 5

Identify the transformation(s) from the parent function f(x)=1/x:  $\ f\left(x\right)=\frac{5}{2}\left(\frac{1}{x}\right)$  

• Compressed by a factor of 5/2

• Stretched by a factor of 5/2

• Shifted up by 5/2

• Shifted down by 5/2

Identify the transformation(s) from the parent function f(x)=1/x:  $\ y=\frac{4}{3}\left(\frac{1}{x}\right)$  

• Compressed by a factor of 4/3

• Stretched by a factor of 4/3

• Translated up by 4/3

• Translated down by 4/3

Select all transformations which are true for the equation:  $f\left(x\right)=\ a\ \left(\frac{1}{\left(x-h\right)}\right)+k$  

• Stretches by a factor of a (if a > 1)

• Shifts right by h

• Shifts up by k

• Shifts right by k

• Reflects vertically if a is negative (a < 0)

Select all transformations which are true for the equation:    $f\left(x\right)=\frac{a}{\left(x-h\right)}+k$  

• Stretches by a factor of a (if a > 1)

• Translates right by h

• Translates up by k

• Compresses by a factor of a (if 0 < a < 1)

• Reflects vertically if 'a' is negative (a < 0)