(Solved): answer those 5 questions please Identify the correct equation for the given graph below: \[ \begin{a ...

Identify the correct equation for the given graph below: \[ \begin{array}{l} y=12 x^{3}(x-2) \\ y=12(x-2)^{2}(x)^{2} \\ y=12 x(x-2)^{3} \\ y=12 x(x+2)(x-2) \end{array} \] The graph of the function \( y=x(x-1)^{3}(x+2)^{2} \) would most closely resemble: Given the following data, determine the degree of the polynomial functions that it represents. a) 2 b) 3 c) 4 d) 5 The number of times that the function \( y=(x-1)^{3}(x+2)(x-4)^{2} \) changes sign is a) 1 b) 2 c) 3 d) 4 The function \( f(x)=(x-1)(x+3) \) is: * reflected in the \( x \) axis, then * compress horizontally by a factor of \( 1 / 2 \), then * translated 4 units to the right. Determine its zeros. \[ \begin{array}{l} x=2 \text { and } x=10 \\ x=3 \text { and } x=1 / 2 \\ x=1 / 2 \text { and } x=5 / 2 \\ x=5 / 2 \text { and } 9 / 2 \end{array} \]