Describe the transformation(s) of the parent function f(x).

Question

h(x) = 12f(x) + 2

Answer 1

In the function h(x) = 12f(x) + 2, the transformation(s) of the parent function f(x) are:

1) Vertical stretch: The parent function f(x) is multiplied by 12, which will result in a vertical stretch of the graph. The y-values of the function will be multiplied by a factor of 12, causing the graph to become taller.

2) Vertical shift: The parent function f(x) is then added to 2, resulting in a vertical shift of the graph. The graph will be shifted upward by 2 units.

Overall, the function h(x) = 12f(x) + 2 will have a vertically stretched and shifted graph compared to the parent function f(x).