Question

Assuming the function a(z) is our parent function.

Explain in your own words the type of transformation that we have here. (Assuming a and b are just constants & a≠ 0 & b≠0)
-(1/3)q(z+4b)-ab

Answer 1

The transformation involves a reflection across the x-axis, vertical compression, horizontal shift to the left, and a vertical shift downwards.

Step-by-step explanation:

The transformation of the function a(z) represented by -(1/3)q(z+4b)-ab involves several types of transformations. First, the negative sign in front of the function implies a reflection across the x-axis. The factor of (1/3) in front indicates a vertical compression by a factor of 3. The addition of 4b within the parentheses alongside z shows a horizontal shift to the left by 4b units. Lastly, subtracting ab from the whole expression results in a vertical shift downwards by ab units.