Question

1. The function is reflected

about the x-axis, vertically
compressed by a factor of
0.3, and then shifted left 4
units.

Answer 1

To reflect a function about the x-axis, we multiply the function by -1.

To vertically compress a function by a factor of 0.3, we multiply the function by 0.3.

To shift the function left 4 units, we subtract 4 from the x-values.

Assuming the original function is denoted by f(x), the transformed function g(x) can be defined as:

g(x) = -0.3 * f(x + 4)

So, the function is first reflected about the x-axis, then vertically compressed by a factor of 0.3, and finally shifted left 4 units.