Mastering Quadratic Equations

Solve the equation: x^2 - 5x + 6 = 0.

• x = 1

• x = 4

• x = 5

• x = 2, x = 3

Find the roots of the quadratic equation: 2x^2 + 3x - 5 = 0.

• 1, -2.5

• -1, 5

• 2, -1.5

• 0, -5

Graph the function: f(x) = x^2 - 4x + 3.

• The graph is a straight line with slope 2.

• The vertex is at (1, 0) and the x-intercepts at (2, 0).

• The graph opens downwards with vertex (2, 1).

• The graph is a parabola with vertex (2, -1) and x-intercepts at (1, 0) and (3, 0).

Use the quadratic formula to solve: 3x^2 - 12 = 0.

• x = 2, x = -2

• x = 4, x = -4

• x = 3, x = -3

• x = 1, x = -1

Determine the vertex of the parabola: y = x^2 + 2x + 1.

• (0, 1)

• (1, 2)

• (-2, 3)

• (-1, 0)

What is the axis of symmetry for the equation: y = -2x^2 + 4x - 1?

• 1

• -1

• 2

• 0

Solve for x using the quadratic formula: 4x^2 + 8x + 3 = 0.

• x = -1, -3

• x = -1/2, -3/2

• x = 0, -2

• x = 1/2, 3/2

Identify the y-intercept of the function: f(x) = 2x^2 - 3x + 1.

• 2

• 1

• 0

• -1

Graph the quadratic function: y = -x^2 + 6x - 8.

• The graph is an upward-opening parabola with vertex at (2, 4).

• The graph is a straight line with no curvature.

• The graph of the quadratic function is a downward-opening parabola with vertex at (3, 1) and y-intercept at (0, -8).

• The graph has a y-intercept at (0, 8) and vertex at (1, 5).

Find the discriminant of the equation: x^2 + 4x + 4 = 0.

• 0

• -4

• 8

• 1