4.10.1 - Test: Quadratic Functions and Equations Unit Test Part 1
1. What is the standard form of a quadratic equation?
a) y = ax^2 + bx + c
b) y = ax^2 + c
c) y = ax^2 + bx
d) y = a + bx + c
2. What is the vertex form of a quadratic equation?
a) y = a(x - h)^2 + k
b) y = a(x + h)^2 + k
c) y = a(x - h) + k
d) y = a(x + h) + k
3. What is the axis of symmetry of a parabola represented by the equation y = x^2 - 4x + 7?
a) x = 4
b) x = -4
c) x = 2
d) x = -2
4. What is the vertex of the parabola represented by the equation y = -2(x + 3)^2 + 5?
a) (3, 5)
b) (-3, 5)
c) (3, -5)
d) (-3, -5)
5. Which of the following statements is true about the graph of a quadratic function?
a) It is a straight line.
b) It is a circle.
c) It is a parabola.
d) It is a hyperbola.
6. What is the minimum or maximum value of the quadratic function y = x^2 - 6x + 8?
a) Minimum value of 2
b) Maximum value of -2
c) Minimum value of -2
d) Maximum value of 2
7. Which of the following quadratic functions has a negative leading coefficient?
a) y = 2x^2 + 3x + 4
b) y = -3x^2 + x + 2
c) y = x^2 - 4x + 7
d) y = 5x^2 - 2x - 6
8. What is the y-intercept of the quadratic function y = x^2 - 3x + 2?
a) (0, 2)
b) (0, -2)
c) (0, 3)
d) (0, -3)
9. What is the discriminant of the quadratic equation x^2 - 5x + 6 = 0?
a) -5
b) -1
c) 1
d) 5
10. Which of the following is a possible factorization of the quadratic expression x^2 - 9x + 18?
a) (x - 3)(x - 6)
b) (x + 3)(x + 6)
c) (x - 2)(x - 9)
d) (x + 2)(x + 9)