Quadratic Functions in Standard Form Practice — Grade 11 math

Lesson 3: Quadratic Functions in Standard Form — Practice Questions

1. For the quadratic function $f(x) = 5x^2 - 3x + 1$, what is the value of the coefficient $a$? \n___
2. Which of the following functions is NOT a quadratic function?
- A. $f(x) = x^2 + 2x$
- B. $g(x) = -3x^2 + 7$
- C. h(x) = 4x - 9
- D. $k(x) = 5x^2$
3. In the quadratic function $g(x) = -2x^2 + 9$, what is the value of the coefficient $b$? \n___
4. Consider the quadratic function $h(x) = 7x^2 - x$. What is the value of the constant term $c$? \n___
5. For the quadratic function $f(x) = -x^2 + 8x - 3$, what are the values of the coefficients $a$, $b$, and $c$?
- A. a = -1, b = 8, c = -3
- B. a = 1, b = 8, c = 3
- C. a = -1, b = -3, c = 8
- D. a = 0, b = 8, c = -3
6. A parabola has an axis of symmetry at $x=5$. If the point $(2, 7)$ is on the parabola, the x-coordinate of its reflection point is ___.
7. A point $(x_1, y_1)$ on a parabola is reflected across the axis of symmetry $x=h$ to a point $(x_2, y_2)$. Which statement is always true?
- A. $x_1 = x_2$
- B. $y_1 = y_2$
- C. $y_1 = -y_2$
- D. $x_1 = -x_2$
8. The point $(-5, 4)$ lies on a parabola with an axis of symmetry at $x=-3$. The x-coordinate of the reflection point is ___.
9. A parabola has an axis of symmetry at $x=1$. If the point $(4, -2)$ is on the graph, what are the coordinates of its reflection point?
- A. (-2, -2)
- B. (-4, -2)
- C. (4, 2)
- D. (2, -2)