Key Features of Quadratic Functions Explained

This video tutorial reviews graphing quadratic equations, focusing on key features such as the axis of symmetry, range, x-intercepts, and solutions. It explains how to graph a quadratic equation, find the vertex, and set up a table of values. The tutorial also covers identifying key features like the y-intercept and vertex, understanding solutions, domain, and range of parabolas.

What is the standard form of a quadratic equation?

• y = ax^2 + bx + c

• y = ax + bx^2 + c

• y = ax^2 + b + cx

• y = a + bx + cx^2

How is the axis of symmetry in a quadratic equation calculated?

• x = 2b / -a

• x = -2b / a

• x = b / 2a

• x = -b / 2a

What is the significance of the axis of symmetry in a parabola?

• It passes through the vertex dividing the parabola into two symmetrical parts.

• It shows the maximum range of the parabola.

• It represents the highest point of the parabola.

• It indicates the point where the parabola intersects the y-axis.

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

• (-1, -4)

• (1, -4)

• (-1, 4)

• (1, 4)

Where does the parabola intersect the y-axis in the equation y = x^2 + 2x - 3?

• (0, -3)

• (0, 3)

• (-3, 0)

• (3, 0)

What are the x-intercepts of the parabola y = x^2 + 2x - 3?

• x = -3, 1

• x = -1, 3

• x = 1, -3

• x = 3, -1

What does the 'c' in the standard form of a quadratic equation represent?

• The y-intercept

• The x-intercept

• The coefficient of x

• The maximum value

What is the range of a parabola that opens upwards and has a vertex at y = -4?

• y ≥ 4

• y ≤ 4

• y ≤ -4

• y ≥ -4

What is the domain of any parabola?

• All real numbers

• All positive numbers

• All negative numbers

• Numbers greater than zero

What is the minimum value of the parabola y = x^2 + 2x - 3?

• -3

• 4

• 3

• -4