Question

determine the cubic function.
a verticle stetch by a factor 5, a reflection across the x-axis and horizontal translated 2 units left

Answer 1

help

Answer 2

For function f(x), the transformation

f(x)->a f(x-h) +k will translate h units to the right, k units upwards, and stretch vertically by a factor of a.

the transformation
reflection about the x-axis is \((x,y) ->(x,-y)\), or f(x) -> -f(x)
reflection about the y-axis is \((x,y)->(-x,y)\), or f(x) -> f(-x)

For the given example, f(x)=y=\(x^3\)