1. What is the range of the quadratic function $g(x) = -5x^2$?
- A. $(-\infty, \infty)$
- B. $[0, \infty)$
- C. $(-\infty, 0]$
- D. $[-5, \infty)$
2. What is the minimum value of the function $f(x) = 9x^2$? Enter the value in the blank: ___.
3. Which of the following functions has a range of $[0, \infty)$?
- A. $f(x) = -x^2$
- B. $f(x) = 4x^2$
- C. $f(x) = -4x^2$
- D. $f(x) = -0.1x^2$
4. What is the maximum value of the function $h(x) = -12x^2$? Enter the value in the blank: ___.
5. The domain of any quadratic function of the form $f(x) = ax^2$ is always the set of all real numbers. Which of the following represents this domain?
- A. $[0, \infty)$
- B. $(-\infty, 0]$
- C. $(-\infty, \infty)$
- D. $[a, \infty)$
6. How does the graph of $y = \frac{1}{4}x^2$ compare to the graph of the basic parabola $y = x^2$?
- A. It is wider than the basic parabola.
- B. It is narrower than the basic parabola.
- C. It is shifted down by $\frac{1}{4}$ units.
- D. It opens downward.
7. How does the graph of $y = -2x^2$ transform the graph of the basic parabola $y = x^2$?
- A. It is reflected across the y-axis and is wider.
- B. It is reflected across the x-axis and is wider.
- C. It is reflected across the x-axis and is narrower.
- D. It is shifted down by 2 units.
8. How does the graph of $y = 3x^2$ compare to the graph of the basic parabola $y = x^2$?
- A. It is wider than the basic parabola.
- B. It is narrower than the basic parabola.
- C. It is shifted 3 units to the right.
- D. It is shifted 3 units up.
9. Solve the equation $20 = 2x^2$.
- A. $x = \pm\sqrt{10}$
- B. $x = \pm 10$
- C. $x = \sqrt{10}$
- D. $x = 10$
10. Describe the graph of $y = 2x^2$ compared to the basic parabola $y = x^2$.
- A. The graph is narrower and opens upward.
- B. The graph is wider and opens upward.
- C. The graph is narrower and opens downward.
- D. The graph is wider and opens downward.