Answer
a. The parent function: $f(x)=x^3$
b. A vertical stretch of factor of $2$, reflection across $x$-axis, translation of $5$ units right, and then translation of $3$ units up.
c. See graph
Work Step by Step
a. The parent function is:
$$f(x)=x^3$$
b. The sequence of transformations is vertical stretch of factor of $2$, reflection across $x$-axis, translation of $5$ units right, and then translation of $3$ units up.
c. The sketch of the graph is as shown.
