DDesmos SAT Prep
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Function Transformations

See shifts, stretches, and reflections happen live with sliders.

The Desmos trick

Define a base function, then graph a transformed version using sliders for the shift and stretch amounts. Dragging the sliders shows exactly how each number moves or reshapes the graph.

  • Define the base function: f(x) = x^2
  • Graph a general transformed version: a*f(x-h)+k
  • Click each letter (a, h, k) and 'add slider', then drag to see its effect in real time

Practice questions

Q1The graph of g(x) = (x - 3)^2 + 2 is the graph of f(x) = x^2 after whi…
Medium
Q2If f(x) = |x| and g(x) = -2f(x + 1) - 3, which statement describes the…
Hard
Q3The graph of g(x) = f(x + 4) - 5 is the graph of f(x) shifted how?
Medium
Q4If f(x) = x^2 and g(x) = -3f(x - 2) + 1, which statement describes the…
Hard