Using the parts of a quadratic to graph

The video tutorial guides students through the process of analyzing and graphing a quadratic function. It covers finding the axis of symmetry, determining the vertex, and identifying whether the vertex is a maximum or minimum. The tutorial also explains how to determine the domain and range, and how to graph the function by plotting points and reflecting them across the axis of symmetry. The lesson concludes with a discussion on the Y-intercept and its relation to the vertex.

What is the standard form of a quadratic function?

• F(x) = ax^2 + c

• F(x) = ax^2 + bx + c

• F(x) = ax^3 + bx^2 + c

• F(x) = ax + b

How do you find the axis of symmetry for a quadratic function?

• By solving ax^2 + bx + c = 0

• Using the formula -b/2a

• By finding the y-intercept

• By setting x = 0

What is the relationship between the vertex and the axis of symmetry?

• The vertex is always at the origin

• The axis of symmetry is horizontal

• The axis of symmetry passes through the vertex

• The vertex is the maximum point

What does it mean if the 'a' value in a quadratic function is greater than zero?

• The function has no real roots

• The graph opens upwards

• The vertex is a maximum point

• The graph opens downwards

What is the y-intercept of a quadratic function?

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

• The maximum point of the graph

• The vertex of the graph

How can you determine additional points to plot on a quadratic graph?

• By using the formula -b/2a

• By choosing points symmetrically around the axis of symmetry

• By finding the x-intercepts

• By calculating the derivative

If a quadratic function is written as F(x) = x^2 - 5, what is the y-coordinate of the vertex?

• -5

• 0

• 5

• 1