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The graph of a quadratic equation is a parabola.

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9y ago

The parabola shape.

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Q: What do all graphs of quadratic functions have in common?
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Related questions

Is it true that some quadratic functions cannot be graphed?

All quadratic functions with real coefficients can be graphed on a standard x-y graph. Not all quadratic functions have real roots, maybe that's what you were thinking of?


The unique solution to a system is where the graphs of the functions what?

Where they all intersect.


How do you solve Quadratic functions?

All you do is set the quadratic function to equal to 0. Then you can either factor or use the quadratic formula to solve for your unknown variable.


What similarities do all graphs of linear functions share?

They are all represented by straight lines.


What do all direct variation graphs have in common?

All direct variation graphs are linear and they all go through the origin.


Why do all polynomials have graphs that look like the graphs of their leading terms?

Polynomials have graphs that look like graphs of their leading terms because all other changes to polynomial functions only cause transformations of the leading term's graph.


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.


Do all quadratic functions have x intercepts?

No, sometimes the entire graph is completely above (or completely below) the x axis.


What are quadratic functions used for in everyday life?

Anything involving a square law automatically invokes a quadratic function by definition, even if the equations is as simple as y = x^2, such as the area of a square (hence the names). At a more advanced level, quadratic and higher-order functions crop up in all manner of real-life science and engineering problems.


What is a type of graphical graph?

All graphs are graphical graphs because if they were not graphical graphs they would not be graphs!


What is the sum of all function in any circle graphs?

THere are infinitely many possible functions in any circle graph. Your question needs to be more specific.


How are functions equation slopes and graphs related?

There are some relationships but not all relationships are always true. Any function can be represented by an equation. But all equations are not functions. For example, y = sqrt(x) is the equation of the square root relationship which can be graphed as a parabola on its side, but it is not a function. It has slopes at each point. Some functions can be plotted as graphs but not all. A function such as f(x) = 1 when x is rational, and f(x) = 0 when x is irrational has no slope and cannot be plotted as a graph. A graph of a vertical line is not a function.