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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!
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What is the definition of a Vertex form of a quadratic function?
it is a vertices's form of a function known as Quadratic
What is the difference between a linear quadratic and a quadratic 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.
What are the similarities of quadratic equations and linear equations?
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Why does quadratic equation called quadratic equation?
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
How are quadratic equations used in the real world?
There are many ways quadratic equations are used in the real world. These equations are used to calculate area, speed and profit
What is the definition of a Vertex form of a quadratic function?
it is a vertices's form of a function known as Quadratic
What is the equation for vertex form?
The vertex form for a quadratic equation is y=a(x-h)^2+k.
How do you convert vertex form to quadratic form?
Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c
Where the given equations are not linear?
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
What different information do you get from vertex form and quadratic equation in standard form?
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?
A corner where three edges meet is also called a vertex. A vertex can be also used in Algebra 2, in Quadratic Equations.
What is the difference between a linear quadratic and a quadratic 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.
What form is the solving for the roots of quadratic equations?
Using the quadratic equation formula or completing the square
What is the formula for quadratic equation in vertex form?
y=2(x-3)+1
Why are Quadratic equations which are expressed in the form of ax2 plus bx plus c 0 where a does not equal 0 may have how many solutions?
Why are Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0,
What is a quadratic equation in vertex form for a parabola with vertex (11 -6)?
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.
What are the benefits of writing a quadratic equation in vertex form and the benefits of writing a quadratic equation in standard form Name specific methods you can use while working with one form or?
Writing a quadratic equation in vertex form, ( y = a(x-h)^2 + k ), highlights the vertex of the parabola, making it easier to graph and identify key features like the maximum or minimum value. In contrast, standard form, ( y = ax^2 + bx + c ), is useful for quickly determining the y-intercept and applying the quadratic formula for finding roots. When working with vertex form, methods like completing the square can be employed to convert from standard form, while factoring or using the quadratic formula can be more straightforward when in standard form. Each form serves specific purposes depending on the analysis needed.
