Understanding Quadratic Functions Concepts

This video tutorial introduces quadratic functions, covering key vocabulary such as parabola, axis of symmetry, and vertex. It explains the standard and vertex forms of quadratic equations and how to graph them. The tutorial also discusses how to determine the direction a parabola opens and provides examples, including special cases where the B value is absent.

What is the shape of the graph of a quadratic function?

• Ellipse

• Parabola

• Circle

• Hyperbola

What is the term for the line that divides a parabola into two equal halves?

• Directrix

• Axis of Symmetry

• Vertex

• Focus

What is the highest or lowest point on a parabola called?

• Axis

• Vertex

• Intercept

• Focus

In the standard form of a quadratic equation, what does 'C' represent?

• Slope

• Constant term

• Coefficient of x^2

• Coefficient of x

How does the graph of a linear function differ from a quadratic function?

• Linear is a line, quadratic is a curve

• Linear is a curve, quadratic is a line

• Both are lines

• Both are curves

What formula is used to find the axis of symmetry in a quadratic function?

• x = a/b

• x = b/2a

• x = -b/2a

• x = -b/a

If the 'a' value in a quadratic function is positive, which way does the parabola open?

• To the right

• To the left

• Downwards

• Upwards

What is the vertex of the function f(x) = x^2 + 10x + 15?

• (5, -10)

• (-5, -10)

• (5, 10)

• (-5, 10)

What is the axis of symmetry for the function f(x) = x^2 - 5?

• x = -5

• x = 5

• x = 1

• x = 0