Function TransformationsHow a, h and k move any parent graph, with the inside/outside rule.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 Transformationslearnposters.com
Function Transformations — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Questions about the Function Transformations poster

Who is the Function Transformations poster for?
Function Transformations is filed under 10th Grade (ages 15–16), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Function Transformations poster?
Inside the bracket affects x and does the opposite of what it looks like. A wall chart earns its place by being glanceable from where the work is happening, so Function Transformations belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Function Transformations?
Sequences and Series, Circle Theorems and Completing the Square sit alongside Function Transformations in the 10th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Sequences and SeriesCircle TheoremsCompleting the Square
Is the Function Transformations poster free to download and print?
Yes. Function Transformations downloads as a free PDF with no account, no email and no watermark, like everything else in the 10th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Function Transformations poster print at?
Function Transformations is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Function Transformations loses nothing.Printing guide

Related posters

Charts that sit alongside Function Transformations on the same wall.

Browse every 10th Grade poster, or start from the full catalogue.