Function TransformationsHow a, h and k move any parent graph, with the inside/outside…10th GradeTHE GENERAL FORMg(x) = a · f( b(x − h) ) + kOutside the bracket affects y and does what it says. Inside affects x and does the opposite.k > 0shift UP k unitsoutside — verticalk < 0shift DOWN |k| unitsoutside — verticalh > 0shift RIGHT h unitsinside — horizontal, reversedh < 0shift LEFT |h| unitsinside — horizontal, reversed|a| > 1vertical STRETCHtaller and thinner0 < |a| < 1vertical SHRINKshorter and widera < 0reflect over the x-axisflips upside downb < 0reflect over the y-axisflips left–rightWORKED — f(x) = x²g(x) = −2(x − 3)² + 5Reflected over the x-axis, stretched by 2, right 3, up 5. Vertex at (3, 5), opening down.Read the transformations in that order and the graph draws itself.Function Transformationswww.littleactivity.com

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Math · 10th Grade

Function Transformations

How a, h and k move any parent graph, with the inside/outside rule.

How to use it

Inside the bracket affects x and does the opposite of what it looks like.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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