Math $201,$ Calculus $1$

Chapter $3,$ Section $8$ Part $1$

For each of the following, go through all the steps of curve sketching and produce a complete sketch.

$(1)y=(x-2{)}^3+1$

$(2)y=x^2(x^2-2)$

$(3)y=x^3(4-x)$

$(4)y=x^{\frac{3}{5}}$