Quadratic Functions Quiz

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

• (1, 4)

• (2, -1)

• (0, 3)

• (3, 2)

Solve the quadratic equation x^2 - 5x + 6 = 0 by factoring.

• x = 1, 6

• x = -2, -3

• x = 4, 5

• x = 2, 3

Tags

CCSS.HSA-REI.B.4B

Graph the quadratic function y = -2x^2 + 4x - 3.

• Use the slope-intercept form of the quadratic function to graph the function

• The correct answer for the question is to use the vertex form of the quadratic function to find the vertex and then plot additional points to graph the function.

• Graph the function without finding the vertex

• Plot random points and connect them to graph the function

Tags

CCSS.HSF-IF.C.7A

Use the quadratic formula to solve the equation 2x^2 - 5x + 2 = 0.

• x = (5 ± √(5^2 - 4*2*2)) / (2*2) = (5 ± √(25 - 16)) / 4 = (5 ± √9) / 4 = (5 + 3) / 4 or (5 - 3) / 4 = 8 / 4 or 2 / 4 = 4 or 0.5

• x = (5 ± √(5^2 - 4*2*2)) / (2*2) = (5 ± √(25 - 16)) / 4 = (5 ± √9) / 4 = (5 + 3) / 4 or (5 - 3) / 4 = 8 / 4 or 2 / 4 = 2 or 0.5

• x = (5 ± √(5^2 - 4*2*2)) / (2*2) = (5 ± √(25 - 16)) / 4 = (5 ± √9) / 4 = (5 + 3) / 4 or (5 - 3) / 4 = 8 / 4 or 2 / 4 = 3 or 0.5

• x = (5 ± √(5^2 - 4*2*2)) / (2*2) = (5 ± √(25 - 16)) / 4 = (5 ± √9) / 4 = (5 + 3) / 4 or (5 - 3) / 4 = 8 / 4 or 2 / 4 = 2 or 0.3

Tags

CCSS.HSA-REI.B.4B

What is the axis of symmetry of the parabola defined by the equation y = 3x^2 + 6x - 9?

• 2

• -1

• 10

• 5

Apply the concept of completing the square to solve the equation x^2 + 8x - 5 = 0.

• x = -8 ± √21

• x = -4 ± √21

• x = 2 ± √21

• x = -4 ± √17

Tags

CCSS.HSA-REI.B.4B

Simplify the radical expression √(18).

• 6√3

• 2√9

• 3√2

• √(9+9)

Identify the vertex of the parabola defined by the equation y = -x^2 + 6x - 9.

• (5, 0)

• (3, 0)

• (2, 0)

• (4, 0)

Solve the quadratic equation 3x^2 - 7x + 2 = 0 by factoring.

• The solutions are x = 2 and x = 1/3.

• The solutions are x = 2/3 and x = 1.

• The solutions are x = 3 and x = 1/7.

• The solutions are x = 4 and x = 1/5.

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

• The correct graph of the quadratic function y = x^2 - 2x - 8 is a parabola opening upwards, with the vertex at (1, -9) and the y-intercept at (0, -8). The axis of symmetry is x = 1.

• The correct graph of the quadratic function y = x^2 - 2x - 8 has the vertex at (0, -8) and the y-intercept at (1, -9).

• The correct graph of the quadratic function y = x^2 - 2x - 8 is a straight line with a positive slope.

• The correct graph of the quadratic function y = x^2 - 2x - 8 is a parabola opening downwards.

Tags

CCSS.HSF-IF.C.7A