Quadratic Formula Mastery

What is the discriminant of the quadratic equation 2x^2 + 5x - 3 = 0?

• 41

• 0

• 12

• -7

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation x^2 - 4x + 4 = 0 using the quadratic formula.

• x = 3

• x = -2

• x = 2

• x = 0

Tags

CCSS.HSA-REI.B.4B

What are the key features of the parabola represented by the equation y = 3x^2 - 6x + 2?

• The key features of the parabola represented by the equation y = 3x^2 - 6x + 2 are: slope, intercept, tangent, and area under the curve.

• The key features of the parabola represented by the equation y = 3x^2 - 6x + 2 are: vertex, axis of symmetry, direction of opening, and y-intercept.

• The key features of the parabola represented by the equation y = 3x^2 - 6x + 2 are: center, radius, circumference, and area.

• The key features of the parabola represented by the equation y = 3x^2 - 6x + 2 are: focus, directrix, asymptotes, and intercepts.

Identify the vertex and axis of symmetry of the parabola represented by the equation y = (x+3)^2 - 4.

• The vertex is (-3, -4) and the axis of symmetry is x = -3.

• The vertex is (3, 4) and the axis of symmetry is x = 3.

• The vertex is (-3, 4) and the axis of symmetry is x = 3.

• The vertex is (3, -4) and the axis of symmetry is x = 3.

What transformation does the function y = (x-2)^2 represent compared to the function y = x^2?

• Vertical shift of 2 units up

• Horizontal shift of 2 units to the left

• Horizontal shift of 2 units to the right

• Vertical shift of 2 units down

Determine the x-intercepts of the parabola represented by the equation y = 2x^2 - 8x + 6.

• x = 3 ± √2

• x = 2 ± √3

• x = 1 ± √5

• x = 4 ± √1

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve the equation 4x^2 - 9x + 2 = 0.

• x = 3 or x = -2

• x = 1/2 or x = 2

• x = 0 or x = 5

• x = 1 or x = 4

Tags

CCSS.HSA-REI.B.4B

Explain how the value of the discriminant can be used to determine the nature of the roots of a quadratic equation.

• By counting the number of variables

• By looking at the color of the equation

• By analyzing its sign and magnitude

• By checking the weather forecast

Tags

CCSS.HSA-REI.B.4B

What effect does the coefficient 'a' have on the graph of a quadratic function in the form y = ax^2 + bx + c?

• The coefficient 'a' has no effect on the graph

• The coefficient 'a' affects the direction and width of the parabola.

• The coefficient 'a' only affects the y-intercept

• The coefficient 'a' changes the shape of the graph

Find the maximum or minimum value of the parabola represented by the equation y = -2x^2 + 4x - 3.

• Maximum value is 1

• Minimum value is -5

• Maximum value is 3

• Maximum value is -1