Question

Select the transformation which describes how to obtain the graph of f(x)= -(x-6)² from the parent graph of f(x)= x²

Answer 1

To obtain the graph of f(x) = -(x-6)² from the parent graph of f(x) = x², you can perform a translation, reflection, vertical scaling, and vertical reflection.

Step-by-step explanation:

To obtain the graph of f(x) = -(x-6)² from the parent graph of f(x) = x², we can apply the following transformation:

1. Translation: Shift the graph 6 units to the right.
2. Reflection: Reflect the graph across the x-axis.
3. Vertical Scaling: Compress the graph vertically by a factor of 1.
4. Vertical Reflection: Reflect the graph across the x-axis again.

By performing these transformations, we will obtain the graph of f(x) = -(x-6)².