Graphing Quadratic Functions in Desmos

This video tutorial demonstrates how to graph a quadratic function using Desmos. It covers entering the function, exploring the parabola, and identifying key features such as the vertex, axis of symmetry, x and y intercepts, domain, range, and intervals of increase and decrease. The tutorial provides a step-by-step guide to using Desmos for graphing and analyzing quadratic functions.

What is the first step to graph a quadratic function using Desmos?

• Use a different online tool

• Draw the graph manually

• Go to desmos.com and open the graphing calculator

• Enter the function in a spreadsheet

How do you enter the exponent for a quadratic function in Desmos?

• Enter the exponent in a separate box

• Click on the graph

• Use the 'a^2' key on the keypad

• Type '^2' after the variable

What is the vertex of the quadratic function f(x) = 2x^2 - 6x - 4?

• (1.5, -8.5)

• (0, -4)

• (-0.562, 0)

• (3.562, 0)

What is the axis of symmetry for the quadratic function f(x) = 2x^2 - 6x - 4?

• x = 1.5

• y = 1.5

• y = -8.5

• x = -8.5

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

• Use the 'a^2' key on the keypad

• Click on the points where the graph crosses the x-axis

• Click on the vertex

• Enter the x-intercepts manually

What is the y-intercept of the quadratic function f(x) = 2x^2 - 6x - 4?

• (1.5, -8.5)

• (0, -4)

• (3.562, 0)

• (-0.562, 0)

What is the domain of any quadratic function?

• x > 0

• x < 0

• x = all real numbers

• x = integers only

What is the range of the quadratic function f(x) = 2x^2 - 6x - 4?

• y = all real numbers

• y >= -8.5

• y < -8.5

• y > -8.5

Which part of the parabola represents the interval of decrease?

• Neither half

• The left half

• The entire parabola

• The right half

What is the interval of increase for the quadratic function f(x) = 2x^2 - 6x - 4?

• x = all real numbers

• x = 1.5

• x > 1.5

• x < 1.5