Quadratic Functions and Their Properties

The video tutorial covers solving a quadratic function by finding its vertex, vertical and horizontal intercepts, and graphing it. It begins with identifying the coefficients of the quadratic equation, then calculates the vertex using the formula for the axis of symmetry. The vertical intercept is found by evaluating the function at x=0, and the horizontal intercepts are determined by factoring the equation. The function is then graphed using a calculator, and key points are plotted on the graph. The tutorial provides a step-by-step approach to understanding and solving quadratic functions.

What is the value of the coefficient 'a' in the quadratic function f(x) = x^2 - 4x - 5?

• 1

• 0

• -5

• -4

How do you calculate the x-coordinate of the vertex for the quadratic function f(x) = x^2 - 4x - 5?

• -b/2a

• b/2a

• -2a/b

• 2a/b

What are the coordinates of the vertex for the function f(x) = x^2 - 4x - 5?

• (-1, 0)

• (5, 0)

• (0, -5)

• (2, -9)

What is the y-intercept of the quadratic function f(x) = x^2 - 4x - 5?

• (-1, 0)

• (2, -9)

• (0, -5)

• (5, 0)

How many horizontal intercepts does the function f(x) = x^2 - 4x - 5 have?

• 0

• 3

• 1

• 2

What are the x-intercepts of the function f(x) = x^2 - 4x - 5?

• (5, 0) and (-1, 0)

• (2, -9) and (0, -5)

• (0, -5) and (2, -9)

• (5, 0) and (2, -9)

Which tool is used to graph the quadratic function on a calculator?

• Rectangle tool

• Circle tool

• Line tool

• Parabola tool

What is the range of x-values used for graphing the function on the calculator?

• -6 to 10

• -10 to 6

• -14 to 5

• 0 to 5

What is the significance of the vertex in the graph of a quadratic function?

• It is the highest or lowest point

• It is the midpoint

• It is the starting point

• It is the endpoint

What is the y-coordinate of the vertex for the function f(x) = x^2 - 4x - 5?

• -9

• -5

• 0

• 2