Quadratic Functions and Their Properties

This video tutorial covers graphing quadratic equations in standard form. It explains how to find the vertex using the formula -b/2a, plot points using symmetry, and determine the domain, range, and axis of symmetry. The video includes examples to illustrate these concepts and concludes with a call to action.

What is the standard form of a quadratic equation?

• y = ax^2 + bx + c

• y = a^2x + bx + c

• y = ax + bx + c

• y = ax^2 + b + c

How do you find the x-value of the vertex in standard form?

• b/2a

• -b/2a

• a/2b

• -a/2b

What is the y-intercept of the equation y = x^2 + 2x - 3?

• (0, 1)

• (0, -1)

• (0, 3)

• (0, -3)

How do you find the x-intercepts of a quadratic equation?

• Set x to 1 and solve for y

• Set y to 0 and solve for x

• Set y to 1 and solve for x

• Set x to 0 and solve for y

What is the domain of a quadratic function that opens up or down?

• All positive numbers

• All negative numbers

• All real numbers

• All integers

What is the range of the quadratic function y = x^2 + 2x - 3?

• [-4, ∞]

• (-∞, ∞)

• [-4, ∞)

• (-∞, -4]

What is the axis of symmetry for the quadratic function y = x^2 + 2x - 3?

• x = 1

• x = -1

• x = 0

• x = 2

What is the vertex of the quadratic function y = 2x^2 + 4x - 1?

• (-1, -3)

• (1, -3)

• (-1, 3)

• (1, 3)

What is the y-intercept of the quadratic function y = 2x^2 + 4x - 1?

• (0, -1)

• (0, 1)

• (0, 3)

• (0, -3)

What is the vertex of the quadratic function y = -3x^2 + 2?

• (0, -2)

• (2, 0)

• (0, 2)

• (-2, 0)