SAT Math / High Yield Lessons

Equation Forms Lab

Change the numbers in an equation and watch what happens to its graph. Learn common linear, quadratic, exponential, and circle forms, connect them to word problems, then practice in mixed questions and timed Bluebook sets.

Use an equation’s form to find a slope, a vertex, an intercept, or a circle’s radius. Some values are shown directly; others need a calculation.

Part of the full libraryOpens January 2, 2027 · $97 for a year
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One parabola is written two ways. In vertex form, y equals (x minus 1) squared minus 4, the numbers 1 and negative 4 light up with the lowest point, (1, negative 4). In factored form, y equals (x plus 1)(x minus 3), the crossings at negative 1 and 3 light up. Next, clicking the 4 in y equals 4 times 2 to the x lights the point where the curve starts, (0, 4). Dragging a slider takes a circle's radius squared from 4 to 9, until the circle matches a dashed goal of radius 3. Clicking the words grows 3 inches each week, in a story about a sunflower, lights the 3 in H equals 3w plus 8 and the line's step of 3 up for each 1 across. Finally, answer where the graph of y equals (x plus 3)(x minus 5) crosses the x-axis, using the buttons after the picture.

This lesson is part of the full library

202 lessons that teach every skill the SAT tests
  • 66Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

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