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If you are looking a graph of an quadratic equation how do you know where the solutions are?
Wiki User
∙ 14y ago
They will be on the horizontal x axis of the graph (look for the x-intercepts).
Wiki User
∙ 14y ago
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How can you tell by looking at a graph whee the solutions are in a quadratic equation?
Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.
Why are there usually two solutions to a quadratic equation?
In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.
What is the difference between a linear function and a quadratic equation?
A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.
How do you use a graphing calculator to solve quadratic equations?
Graph the equation then find the x intercepts.
Why are there usually two solutions in quadratic equations?
It is easier to understand this if you draw the curve of the equation as a graph. From the graph you will see that the line curves back on itself, usually in a nice parabolic curve. Because it curves back, you find that most values of Y correspond to two different values of X - so there are two solutions.
How you find the solution of a quadratic equation by graphing its quadratic equation?
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
The graph of a quadratic equation is called a?
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
How can you tell by looking at a graph whee the solutions are in a quadratic equation?
Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.
What is the graph for quadratic equation?
the graph for a quadratic equation ct5r
How do you know if a quadratic equation will have one two or no solutions How do you find a quadratic equation if you are only given the solution Is it possible to have different quadratic equation?
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
What is a parabola the graph of?
It is the graph of a quadratic equation of the formy = ax^2 + bx + c
What are you finding when you solve a quadratic equation?
You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.
What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
What is the graph called of a quardic equation?
The graph of a quadratic equation is a parabola
What is a quadratic equation when graphed?
The graph (on Cartesian coordinates) of a quadratic equation is a parabola.
Is it possible to have different quadratic equations with the same solution Why?
Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.
