Vertex FormThe form that hands you the graph without any working at all.10th GradeIn y = a(x − h)² + k, the vertex is at (h, k) and acontrols the direction and width.y = a(x − h)² + k → vertex (h, k)y = (x − 3)² + 2vertex (3, 2)The minus in the form means h is +3.y = (x + 4)² − 1vertex (−4, −1)x + 4 is x − (−4), so h = −4.a > 0opens up, minimumThe vertex is the lowest point.a < 0opens down, maximumThe vertex is the highest point.THE COMMON MISTAKEy = (x + 4)² has vertex (4, 0)vertex is (−4, 0)The form is x − h. To get x + 4, h must be −4.Standard form gives you c, the y-intercept. Vertex form gives you thevertex. Convert to whichever you need.Vertex Formlearnposters.com
Vertex Form — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Vertex Form poster

The rule, 4 worked examples, and the mistake everyone makes.

Standard form gives you c, the y-intercept. Vertex form gives you the vertex. Convert to whichever you need.

Questions about the Vertex Form poster

What’s on the Vertex Form poster?
The rule, 4 worked examples, and the mistake everyone makes. In y = a(x − h)² + k, the vertex is at (h, k) and a controls the direction and width.; y = a(x − h)² + k → vertex (h, k); y = (x − 3)² + 2 = vertex (3, 2); y = (x + 4)² − 1 = vertex (−4, −1); a > 0 = opens up, minimum; a < 0 = opens down, maximum; Common mistake: y = (x + 4)² has vertex (4, 0) → vertex is (−4, 0). Standard form gives you c, the y-intercept. Vertex form gives you the vertex. Convert to whichever you need.
Who is the Vertex Form poster for?
Vertex Form 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 Vertex Form poster?
Read h and k straight off — but watch the sign of h. It is the opposite of what it looks like. A wall chart earns its place by being glanceable from where the work is happening, so Vertex Form belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Vertex Form?
Completing the Square, Sequences and Series and Complex Numbers sit alongside Vertex Form 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.Completing the SquareSequences and SeriesComplex Numbers
Is the Vertex Form poster free to download and print?
Yes. Vertex Form 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 Vertex Form poster print at?
Vertex Form 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 Vertex Form loses nothing.Printing guide

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