Quadratic Functions and Graphing

The video tutorial explains how to analyze a quadratic function, specifically f(x) = 2x^2 - 11x - 21. It covers finding x and y intercepts, the equation of the axis of symmetry, and the vertex. The tutorial also demonstrates graphing the function and verifying the results using graphing software. Key concepts include factoring to find intercepts, using the quadratic formula for the axis of symmetry, and calculating the vertex.

What are the components we need to find for the quadratic function given in the video?

• X-intercepts, Y-intercept, Axis of Symmetry, Vertex, Slope

• X-intercepts, Y-intercept, Axis of Symmetry, Vertex, Graph

• X-intercepts, Y-intercept, Slope, Vertex, Graph

• X-intercepts, Y-intercept, Axis of Symmetry, Slope, Graph

What shape does the graph of a quadratic function produce?

• Ellipse

• Circle

• Hyperbola

• Parabola

How do you find the x-intercepts of a quadratic function?

• Use the axis of symmetry

• Find the vertex

• Set x to zero and solve for y

• Set y to zero and solve for x

What are the x-intercepts of the quadratic function as ordered pairs?

• (3/2, 0) and (7, 0)

• (-3/2, 0) and (-7, 0)

• (3/2, 0) and (-7, 0)

• (-3/2, 0) and (7, 0)

What is the y-intercept of a quadratic function in standard form?

• The constant term

• The coefficient of x

• The sum of the coefficients

• The coefficient of x squared

What is the y-intercept of the quadratic function as an ordered pair?

• (-21, 0)

• (21, 0)

• (0, 21)

• (0, -21)

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

• x = -b/2a

• x = b/2a

• x = a/2b

• x = -a/2b

What is the x-coordinate of the vertex for the given quadratic function?

• 2.75

• 2.5

• 3.0

• 3.25

What is the y-coordinate of the vertex for the given quadratic function?

• -36.125

• -35.125

• -37.125

• -34.125

What is the equation of the axis of symmetry for the given quadratic function?

• x = 3.25

• x = 2.5

• x = 2.75

• x = 3.0