The graph will have a formula such as y=x2+3x+2
This can be factorised in this example to y=(x+1)(x+2).
The zeroes of the graph are really the points which satisfy the simultaneous equations y=0 (a line) and y=(x+1)(x+2). Both of these are equal to y, so put them equal to each other: (x+1)(x+2)=0
This has only one variable, x, so we can find its values.
It is clear that if either x+1=0 or x+2=0 the whole expression will be equal to zero, as the bit that is zero will multiply the other bit by zero, so the whole thing is zero. Solve each of those two individually to get x=-1 and x=-2. These are the zeroes of the graph. Read it carefully. Many high school mathematics students were bored to bring you this information (I was bored at this stage but found it got much more interesting later).
inverse linear or quadratic
It is the value of the equation y = f(x) when x = 0.
an equation
It is a straight line equation in the form of y = mx+c whereas m is the slope and c is the y intercept
You want to fence in a rectangular area, but first you must determine the dimensions of the area. 1. Different pets need to have different areas. For example, a horse needs more space than a dog. Determine an area that is appropriate for your pet. 2. Define the shape of the rectangular area by establishing a relationship between the length and width of the rectangle. For example, L = 2W + 5, or W = 3L - 4. Be sure to include the appropriate units (inches, feet, yards, miles, or meters). 3. Using the fact that A = LW, together with the relationship defined in step 2, eliminate one of the variables to set up a quadratic equation. 4. Solve the quadratic equation using any of the techniques learned in this unit. The solution(s) will be one of the dimensions; use step 2 to find the other. 5. Now determine the perimeter so that you will know how much fencing to buy.
an equation has an equals sign.
a linear relationship is characterized by the form y=mx+b and a quadratic relationship is characterized by the form y=x^2+bx+c. Graphically represented, a linear equation forms a line and a quadratic will appear as a parabola.
If you have a quadratic equation of the formx^2 + bx + c = 0 and its solutions are x = p and x = qthen the relations between the solutions are:p + q = -b, andpq = cThese relations do not vary.
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
dunctions are not set equal to a value
radical equations have sq roots, cube roots etc. Quadratic equations have x2.
A linear equation has the form of mx + b, while a quadratic equation's form is ax2+bx+c. Also, a linear equation's graph forms a line, while a quadratic equation's graph forms a parabola.
A formula is an equation that expresses a relationship between measurements.
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.
A quadratic equation is of degree 2, that is, the highest power is 2. A polynomial is not an equation, however, you can convert it into an equation by setting the polynomial equal to zero for example. A polynomial EQUATION can be of any degree: 1, 2, 3, 4, etc.
The Quadratic Formula song: (my grade saver) To the tune of the jack in the box song X equals negative B plus or minus square root of B squared minus 4AC all over 2A :)