Question

Kinda stuck on this one if you can help I would be thankful.

Answer 1

..Given: The base function as

$f(x)=x^n$

To Match the function to the transformation that took place

Solution

Reflection across the x-axis: The translation rule for reflection across the x-axis is given as

$(x,y)\rightarrow(x,-y)$

Therefore relating to the base function

$(x,x^n)\rightarrow(x,-x^n)$

Transition of h units to the left: The translation rule to the left by h units is

$(x,x^n)\rightarrow(x,(x+h)^n)$

Translation of k units up: The translation rule for k units up is

$(x,x^n)\rightarrow(x,x^n+k)$

Vertical Dilation: If the factor of dilation is a, then vertical dilation gives

$(x,x^n)\rightarrow(x,ax^n)$