Exploring Parabolas and Their Properties Revision Quiz

What are the coordinates of the vertex of the parabola defined by the equation y = x^2 - 4x + 3?

• (0, 3)

• (3, 0)

• (1, 2)

• (2, -1)

Determine the axis of symmetry for the parabola given by y = 2x^2 + 8x + 5.

• x = 0

• x = 2

• x = -2

• x = -4

Graph the quadratic function y = -x^2 + 6x - 8 and identify its vertex.

• The vertex of the function is (2, 4).

• The vertex of the function is (1, -2).

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

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

Find the x-intercepts of the parabola represented by the equation y = x^2 - 5x + 6.

• x = 4

• x = 1

• x = 5

• x = 2, x = 3

What is the y-intercept of the parabola y = 3x^2 - 12x + 9?

• (0,9)

• (0,6)

• (0,-12)

• 9

Does the parabola y = x^2 + 2x - 3 have a maximum or minimum value?

• Minimum value

• Undefined value

• No value

• Maximum value

In a real-world scenario, a ball is thrown upwards, and its height can be modeled by the equation h(t) = -16t^2 + 32t + 5. What is the vertex of this parabola?

• (1, 21)

• (1, 15)

• (2, 25)

• (0, 5)

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

• x = 1

• x = -1

• x = 2

• x = 0

Graph the function y = x^2 - 2x and label the vertex and axis of symmetry.

• Vertex: (1, 1), Axis of symmetry: x = -1

• Vertex: (1, -1), Axis of symmetry: x = 1

• Vertex: (0, 0), Axis of symmetry: x = 0

• Vertex: (2, 0), Axis of symmetry: x = 2

What are the x-intercepts of the parabola defined by y = x^2 + 4x + 4?

• -2

• -3

• 0

• -1