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How do you make a graph of a quadratic function that has x-intercepts at 0 and 4?
Wiki User
∙ 10y ago
That's not enough information to draw the graph. All you know is that it crosses the
x-axis at those 2 points. You don't know whether it opens upward or downward, or
how far the nose is above or below the x-axis. You need more information about
the function before you can graph it.
This is just another way of saying that there are an infinite number of different quadratic functions that all have those same x-intercepts.
Wiki User
∙ 10y ago
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What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
Where do you find the roots when looking at a parabola?
-- The roots of a quadratic equation are the values of 'x' that make y=0 . -- When you graph a quadratic equation, the graph is a parabola. -- The points on the parabola where y=0 are the points where it crosses the x-axis. -- If it doesn't cross the x-axis, then the roots are complex or pure imaginary, and you can't see them on a graph.
Why is a Quadratic eqaution is called quadratic?
From the Oxford English Dictionary, one of the roots is quadrare, which is to make square.
How Sketch a plot of f(x)xlxl?
Make a table: for some different values of x, calculate the value of the function. Plot the points on a graph, and join them by lines.
How do you title a graph?
You find the main idea of the graph then make the title based on that.
What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
Where do you find the roots when looking at a parabola?
-- The roots of a quadratic equation are the values of 'x' that make y=0 . -- When you graph a quadratic equation, the graph is a parabola. -- The points on the parabola where y=0 are the points where it crosses the x-axis. -- If it doesn't cross the x-axis, then the roots are complex or pure imaginary, and you can't see them on a graph.
when you multiply a function by -1 what is the effect on its graph?
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
Why does it make sense that by graphing two rational functions on the same graph be the same as if you were to add them first then graph?
It is not. If f(x) = ax2 and g(x) = -ax2 then the separate graphs will be two quadratic curves, f being "happy" and g being "sad". But f(x) + g(x) = 0 for all x and so is the x axis, not a quadratic.
Could you have a quadratic function with one real root and one complex root Think about what the graph of that function might look like. What might the function itself look like?
Yes; to have a quadratic function with two given roots, just decide what roots you want to have - call them "a" and "b" - and write your function as:y = (x - a) (x - b) You can multiply this out if you wish, to make it look like a standard quadratic function. Note that "a" and "b" can be any complex numbers. Graphing such a function is quite complicated; to graph both the x-value and the y-value, each of which is itself a complex (i.e., two-dimensional) number, you really need four dimensions.
Where the graph of a function equals the value zero?
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
Why is it a good idea to make a graph of the data in the data table?
Viewing the data is an easy way to see some of their characteristics such as trends, seasonality, outliers, relationship between variables (linear, quadratic, power etc).
How do you make a table of values for a quadratic equation?
Simply learn and use the quadratic equation formula.
What is the solving for the roots of quadratic equation?
It is finding the values of the variable that make the quadratic equation true.
How do you graph function g?
use y = g(x) make a table of y values for several x values Find max/min values using derivative. graph the ordered pairs.
Why is a Quadratic eqaution is called quadratic?
From the Oxford English Dictionary, one of the roots is quadrare, which is to make square.
