Algebra 2 Forms of Quadratic Functions Quiz: 10 Questions with Explanations

A \((-4, 7)\)B \((4, -7)\)C \((4, 7)\)D \((7, 4)\)

In a(x – h)² + k, the vertex is (h, k) = (4, 7). The sign inside the parentheses is opposite to h.

A Factored formB Standard formC Vertex formD Expanded form with c = 0

In a(x – r)(x – s), setting each factor to zero gives the zeros r and s.

A \(3\)B \(-4\)C \(-9\)D \(9\)

The y-intercept is f(0) = c = -9.

A \(f(x) = (x + 2)^{2} – 4\)B \(f(x) = (x – 2)^{2} – 4\)C \(f(x) = (x – 2)^{2} + 4\)D \(f(x) = -(x – 2)^{2} – 4\)

Vertex (2, -4) gives (x – 2)² – 4. A minus in front would open downward.

A 8B 16C 4D 64

Half of 8 is 4, and 4² = 16. Squaring 8 gives 64, which is a common error.

A \((x – 3)^{2} – 7\)B \((x – 3)^{2} + 2\)C \((x + 3)^{2} – 7\)D \((x – 6)^{2} – 34\)

Add and subtract 9: (x – 3)² – 9 + 2 = (x – 3)² – 7.

A 1B -1C 7D 6

The parabola opens downward and the vertex is (1, 6), so the maximum value is 6.

A \(x = -5\)B \(x = 5\)C \(x = 10\)D \(x = 3\)

x = -b/(2a) = -10/2 = -5.

A \(x = 3 and x = 4\)B \(x = -1 and x = -5\)C \(x = 4 only\)D \(x = 1 and x = 5\)

The curve crosses the x-axis at 1 and 5, symmetric about x = 3.

A 1.5 feetB 40 feetC -16 feetD 56 feet

The vertex is (1.5, 40), so the maximum height of 40 feet occurs at 1.5 seconds.