Quadratic Functions

What is the vertex of a parabola and how is it identified?

• (x, y)

• (a, b)

• (h, k)

• (m, n)

Graph the quadratic function y = x^2 - 4x + 4. What is the vertex of the parabola?

• The vertex of the parabola is (0, 2).

• The vertex of the parabola is (2, 0).

• The vertex of the parabola is (4, 0).

• The vertex of the parabola is (1, 3).

Solve the quadratic equation x^2 - 6x + 8 = 0 using the quadratic formula.

• x = 3 or x = 5

• x = 2 or x = 4

• x = 1 or x = 8

• x = -2 or x = -4

Identify the axis of symmetry for the parabola y = 2x^2 - 4x + 1.

• x = 0

• x = 1

• x = -1

• x = 2

Explain what a parabola is and provide an example.

• A type of fish found in the ocean.

• The path of a ball thrown in the air.

• A shape with four equal sides and four right angles.

• A type of pasta commonly used in Italian cuisine.

What are the roots, zeros, solutions, and x-intercepts of a quadratic function?

• The y-intercepts

• The highest point on the graph

• The points where the graph crosses the y-axis

• Points where the graph crosses the x-axis

Graph the quadratic function y = -x^2 + 2x + 3. What are the x-intercepts?

• (0, 3) and (0, -1)

• (2, 0) and (3, 0)

• (1, 0) and (4, 0)

• The x-intercepts are (3, 0) and (-1, 0).

Find the vertex of the parabola represented by the quadratic function y = 3x^2 + 6x - 9.

• -1, -12

• 4, 3

• 0, -9

• 2, 15

Solve the equation 2x^2 - 5x + 2 = 0 by factoring.

• (2x + 1)(x - 2) = 0

• (2x - 1)(x - 2) = 0

• (2x + 2)(x - 1) = 0

• (2x - 2)(x - 1) = 0

Explain how to apply the quadratic formula to find the solutions of a quadratic equation.

• Substitute the values of a, b, and c into the formula: x = (-b ± √(b^2 - 4ac)) / (2a)

• Divide the values of a, b, and c by 2

• Multiply the values of a, b, and c together

• Add the values of a, b, and c together