Answer
(a) Shift the graph of $f(x)$ vertically upwards by $8$
(b) Shift the graph of $f(x)$ to the left by $8$
(c) Stretch the graph of $f(x)$ vertically by the factor of $8$
(d) Shrink the graph horizontally by the factor of $8$
(e) Reflect the graph with respect to the $x$ axis and then shift it downwards by $1$
(f) Stretch the graph both vertically and horizontally by the factor of $8$
Work Step by Step
(a) Shift the graph of $f(x)$ vertically upwards by $8$.
This is because the upward translation is applied.
(b) Shift the graph of $f(x)$ to the left by $8$
This is because the leftward translation is applied.
(c) Stretch the graph of $f(x)$ vertically by the factor of $9$
This is because the vertical stretching transformation by factor of $8$ is applied.
(d) Shrink the graph horizontally by the factor of $8$
This is because the horizontal stretching by factor of $8$ is applied.
(e) Reflect the graph with respect to the $x$ axis and then shift it downwards by $1$
This is because first the reflection with respect to $x$ axis is applied and then the verical downwards translation by $1$
(f) Stretch the graph both vertically and horizontally by the factor of $8$.
This is because both the vertical stretching by the factor of $8$ and horizontal stretchig by the factor of $8$ are applied.
