Try this ACT math practice question on zeros of a polynomial function:

The zeros of a function are those values of $x$ for which $f(x)=0$. Which of the following is the correct description of the zeros of the cubic polynomial $f(x)=2x^3+8x$ ?

1. $\quad \textrm{No real zeros.}$
2. $\quad \textrm{One real zero.}$
3. $\quad \textrm{Two real zeros.}$
4. $\quad \textrm{Two double zeros.}$
5. $\quad \textrm{Three distinct real zeros.}$

Try this ACT math practice question on a modified quadratic equation and how the resulting roots are related to the original quadratic equation.

The quadratic equation $ax^2-11x-14=0$ has two real solutions at $-\dfrac{2}{3}$ and $\dfrac{7}{5}$. What are the two solutions of the equation $a(x+1)^2-11(x+1)-14=0$?

1. $\quad -\dfrac{2}{3} \textrm{ and } \dfrac{7}{5}$
2. $\quad -\dfrac{5}{3} \textrm{ and } \dfrac{2}{5}$
3. $\quad -\dfrac{1}{3} \textrm{ and } \dfrac{12}{5}$
4. $\quad -\dfrac{2}{5} \textrm{ and } \dfrac{5}{3}$
5. $\quad -\dfrac{12}{5} \textrm{ and } \dfrac{1}{3}$

Try this ACT math practice question on horizontal and vertical shifts of parabola and the resulting change in their equation:

In the $(x, y)$ coordinate plane, the graph of the parabola $y=-x^2$ is shifted 3 units up and 2 units to the left. Which of the following is an equation of the translated parabola?

1. $\quad y=-(x-2)^2-3$
2. $\quad y= -(x-2)^2 + 3$
3. $\quad y=-(x+2)^2+3$
4. $\quad y=-(x+2)^2-3$
5. $\quad y=-(x+3)^2+2$