Answer:
A. Reflection over the x-axis.
Step-by-step explanation:
Now, we present how to transform [tex]f(x) = x[/tex] into [tex]g(x) = -5\cdot (x-3)-8[/tex] below:
1) [tex]f(x) = x[/tex] Given.
2) [tex]f(x-3) = x - 3[/tex] Horizontal shift to the right.
3) [tex]-5\cdot [f(x-3)] = -5\cdot (x-3)[/tex] Vertical scale factor.
4) [tex]-5\cdot f(x-3)-8 = -5\cdot (x-3)-8[/tex] Vertical shift downwards.
5) [tex]g(x) = -5\cdot (x-3)-8[/tex] Definition/Result
In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.
