Quiz – Math 1, Unit 6, Section A

Cumulative Quiz: Unit 6, Section A – Quadratic Equations and Functions

Which of the following is the standard form of a quadratic equation?
1. $ax + b = 0$
2. $ax^2 + bx + c = 0$
3. $a(x - h)^2 + k = 0$
4. $y = mx + b$
What is the vertex form of a quadratic function?
1. $y = ax^2 + bx + c$
2. $y = a(x - h)^2 + k$
3. $y = mx + b$
4. $y = a(x - p)(x - q)$
How many real roots does the quadratic equation $x^2 + 4x + 5 = 0$ have?
1. None
2. One
3. Two
4. Three
Which method can be used to solve the quadratic equation $x^2 - 6x + 9 = 0$ ?
1. Graphing
2. Factoring
3. Completing the square
4. All of the above
What is the discriminant of the quadratic equation $2x^2 - 4x + 2 = 0$ ?
1. 16
2. 0
3. 4
4. -8
Which of the following equations represents a parabola opening downward?
1. $f(x) = -3x^2 + 4x - 2$
2. $f(x) = 2x^2 + 3x + 1$
3. $f(x) = 4x^2 - 5x + 6$
4. $f(x) = 0.5x^2 + x - 1$
What is the axis of symmetry for the quadratic function $f(x) = x^2 - 6x + 8$ ?
1. $x = -3$
2. $x = -6$
3. $x = 3$
4. $x = 6$
Which of the following methods can be used to derive the quadratic formula?
1. Factoring
2. Graphing
3. Trial and error
4. Completing the square
In the quadratic formula, what does the term $\sqrt{b^2 - 4ac}$ represent?
1. The vertex
2. The axis of symmetry
3. The y-intercept
4. The discriminant
What are the roots of the quadratic equation $x^2 - 5x + 6 = 0$ ?
1. $x = 2$ and $x = 3$
2. $x = 1$ and $x = 6$
3. $x = -2$ and $x = -3$
4. $x = -1$ and $x = -6$