Graph axis of symmetry vertex and max and min, domain and range

The video tutorial covers solving a quadratic function problem, focusing on finding the vertex, maximum and minimum points, and understanding the domain and range. The teacher explains the properties of parabolas and how to calculate the vertex using the axis of symmetry. The session also addresses common student questions and clarifies the concepts of domain and range for quadratic functions.

What is the quadratic function given in the problem statement?

• F(x) = x^2 + 6x - 15

• F(x) = -x^2 + 6x - 15

• F(x) = -x^2 - 6x + 15

• F(x) = x^2 - 6x + 15

What shape does the graph of a quadratic function form?

• Circle

• Ellipse

• Parabola

• Hyperbola

What is the formula for the axis of symmetry in a quadratic equation?

• x = -b / 2a

• x = b / 2a

• x = a / 2b

• x = -a / 2b

What is the vertex of the quadratic function F(x) = -x^2 + 6x - 15?

• (-3, 6)

• (3, 6)

• (3, -6)

• (-3, -6)

How do you determine if the vertex is a maximum or minimum point?

• By checking if 'b' is positive or negative

• By checking if 'c' is positive or negative

• By checking if 'a' is positive or negative

• By checking if the vertex is above or below the x-axis

What is the domain of a quadratic function without constraints?

• All integers

• All real numbers

• All negative numbers

• All positive numbers

What is the range of the quadratic function F(x) = -x^2 + 6x - 15?

• From negative infinity to -6

• From 0 to 6

• From -6 to infinity

• From -15 to 15