Graphing Quadratics with Desmos: Key Features and Techniques

The video tutorial explains how to graph a quadratic function using key features with the help of the Desmos graphing calculator. It covers inputting the quadratic function into the calculator, identifying key features such as the axis of symmetry, vertex, y-intercept, and x-intercepts. The tutorial emphasizes the importance of understanding these features for accurate graphing and provides step-by-step guidance on how to find them using the graphing tool.

What is the quadratic function used in the tutorial?

• f(x) = 3x^2 + 6x - 1

• f(x) = 3x^2 - 6x - 1

• f(x) = x^2 - 3x + 1

• f(x) = x^2 - 6x + 3

Which tool is used for graphing the quadratic function?

• Microsoft Excel

• Desmos graphing calculator

• Scientific calculator

• Graph paper

What method is used to graph the quadratic function in the tutorial?

• Plotting points manually

• Using a graphing calculator

• Using a computer software other than a calculator

• Drawing freehand

What is the vertex of the quadratic function as identified in the graph?

• (-1, 4)

• (4, 1)

• (1, -4)

• (0, -1)

What is the axis of symmetry for the graphed function?

• x = 1

• x = -4

• x = 0

• x = 4

How is the axis of symmetry related to the vertex?

• It passes through the x-value of the vertex

• It passes through the y-value of the vertex

• It is perpendicular to the vertex

• It is parallel to the vertex

Why is it important to verify the axis of symmetry on the graph?

• To ensure it correctly divides the graph into symmetrical parts

• To determine the correct scaling of the graph

• To confirm the function's maximum or minimum value

• To check the accuracy of the x-intercepts

What is the y-intercept of the quadratic function?

• -1

• 0

• 1

• -4

Which of the following are other names for x-intercepts?

• Lines, rays, segments

• Peaks, troughs, crests

• Vertices, nodes, points

• Zeros, roots, solutions

What are the approximate values of the x-intercepts?

• 2.155 and -0.155

• 2.115 and -0.155

• 1.115 and -2.155

• 1.155 and -2.115