The vertex form of a quatdratic equation (otherwise called the graphing form) is y=a(x-h)2+k
For those of you who don't know what 'h', 'a', and 'k' are, they are parameters. The negative sign in front of the 'h' refers to the opposite of the x coordinate in the vertex. The 'k' refers to the y coordinate in the vertex. 'A' refers to the stretch or compression factor. So, for example, say you have a parabola with a stretch factor of 2 whose vertex coordinates are (-3,4).
The equation would be y=2(x+3)2+4
Of course, if a parabola has no stretch/compression factor, there would be no 'a' in the equation.
I hope this helped, and good luck!
it is a vertices's form of a function known as Quadratic
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
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Quadratic equations are called quadratic because quadratus is Latin for ''square'';in the leading term the variable is squared. also...it is form of ax^2+bx+c=0
There are many ways quadratic equations are used in the real world. These equations are used to calculate area, speed and profit
it is a vertices's form of a function known as Quadratic
The vertex form for a quadratic equation is y=a(x-h)^2+k.
Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
A corner where three edges meet is also called a vertex. A vertex can be also used in Algebra 2, in Quadratic Equations.
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
Using the quadratic equation formula or completing the square
The quadratic function is better represented in vertex form when you need to identify the vertex of the parabola quickly, as it directly reveals the coordinates of the vertex ((h, k)). This form is particularly useful for graphing, as it allows you to see the maximum or minimum point of the function immediately. Additionally, if you're interested in transformations such as shifts and reflections, vertex form clearly outlines how the graph is altered.
y=2(x-3)+1
Why are Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0,
A quadratic equation in vertex form is expressed as ( y = a(x - h)^2 + k ), where ((h, k)) is the vertex of the parabola. For a parabola with vertex at ((11, -6)), the equation becomes ( y = a(x - 11)^2 - 6 ). The value of (a) determines the direction and width of the parabola. Without additional information about the parabola's shape, (a) can be any non-zero constant.