Question

Identify the transformations used to graph g(x)=-1/2(x-3)^3 from its parent function f(x)=x^3

Answer 1

a horizontal shift right 3 units, a reflection over the x-axis, and a vertical compression by a factor of 2

Answer 2

The transformations that have been done are reflected vertically -1/2 and moved to the right by 3 units.

Explanation:

To find out what transformations differ from your parent graph, look at the a,h, and k values.

A value means if it is being vertically stretched or reflected

In this case, -1/2 is a vertically reflection(upside down).

We also have -3 as our h value. This tells us how many units right or left our graph moves. If the value is negative, it moves to the right. If the value is positive, it moves to the left.

Now you know how to find transformations that differ from the parent graph