From 83d26797d42bd25ccb9cb712cb2c4cb342f9911a Mon Sep 17 00:00:00 2001 From: philip1077 Date: Thu, 29 Nov 2018 19:09:05 -0500 Subject: [PATCH] Created this File (#23026) --- .../mathematics/forms-of-a-parabola/index.md | 28 +++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 guide/english/mathematics/forms-of-a-parabola/index.md diff --git a/guide/english/mathematics/forms-of-a-parabola/index.md b/guide/english/mathematics/forms-of-a-parabola/index.md new file mode 100644 index 0000000000..3e7ed5d6af --- /dev/null +++ b/guide/english/mathematics/forms-of-a-parabola/index.md @@ -0,0 +1,28 @@ +--- +title: Forms of a Parabola +--- +## Standard Form / General Form + +Firstly, let `a`, `b` and `c` represent real numbers that: `a`- is the stretch or compression, `b`- a coefficient of x, and `c`- the y-intercept of the parabola where `a cannot equal 0`. + +Standard form (also known as General Form) of a parabola can be represented in the equation below: + +y=ax2+bx+c + +## Factored Form + +Firstly, let `a`, `m` and `n` represent real numbers that: `a`- is the stretch or compression, `m` and `n` are the 'zeros' or 'x-intercepts' of the parabola where `a cannot equal 0`. *Please note that not all parabolas can but put into this form. + +Factored form of a parabola can be represented in the equation below: + +y=a(x-m)(x-n) + +## Vertex Form + +Firstly, let `a`, `h` and `k` represent real numbers that: `a`- is the stretch of compression, `h` is the x value of the vertex, and `k` is the y value of the vertex. This means that `(h,k)` is the vertex of the parabola. Again `a cannot equal 0`. + +Vertex form of a parabola can be representes in the equation below: + +y=a(x-h)2+k + +These are the three forms of a parabola. Remember that `a` will never be 0 because the parabola would automatically become a line, because 0 multiplied by any number is still zero.