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Use the left and right arrows to move through the lesson or click “Show Step by Step” below to see all the steps at once.

Desmos Shortcuts

By typing in these shortcuts, you’ll get the indicated feature.

shift + 6: exponent
sqrt: square root
cbrt: cubed root
nthroot: “nth” root
table: creates a table to add points
pi: adds the pi value
frac: creates an empty fraction
< =: ≤
shift + \: absolute value symbol

Nonlinear Equations – Point of Intersection w/ Slider (SPR)

This guide provides a step-by-step explanation of how to find the point of intersection between a line and a parabola using a slider. It demonstrates how adjusting a constant in the equation of the parabola allows you to visually manipulate its position and determine the value that produces a single point of intersection. This interactive approach makes understanding the concept of intersection points more intuitive and engaging.

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Get Hands-on Practice with Acely

Want to track your progress in SAT math over time? Acely has a question bank of over 4,500 questions, where you can select the difficulty or a similar question to practice. In practice mode you can get live hints and explanations from an AI tutor, with Desmos tips and tricks as well!

Desmos Shortcuts

By typing in these shortcuts, you’ll get the indicated feature.

shift + 6: exponent

sqrt: square root

cbrt: cubed root

nthroot: “nth” root

table: creates a table to add points

pi: adds the pi value

frac: creates an empty fraction

< = : ≤

shift + \: absolute value symbol