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The general technique for graphing quadratics is the same as for graphing linear equations. However, since quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear equations, there are some additional considerations.
The most basic quadratic is y = x2. When you graphed straight lines, you only needed two points to graph your line, though you generally plotted three or more points just to be on the safe side. However, three points will almost certainly not be enough points for graphing a quadratic, at least not until you are very experienced. For example, suppose a student computes these three points:
Then, based only on his experience with linear graphs, he tries to put a straight line through the points.
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What is the name of the graph of a quadratic function?
The parabola
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.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
The line that cuts the graph of a quadratic function in half is called the axis of what?
It is the axis of symmetry.
What is the graph for quadratic equation?
the graph for a quadratic equation ct5r
What do you call the graph of a quadratic function?
the graph of a quadratic function is a parabola. hope this helps xP
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
The graph of a quadratic function?
Yes. And the question is ...
What is the name of the graph of a quadratic function?
The parabola
Is the graph of a quadratic function contains the point 0 0?
Some do and some don't. It's possible but not necessary.
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.
Does the graph of every quadratic function have a y-intercept?
Yes.
What makes a function have a graph that is quadratic?
That the function is a quadratic expression.
What changes can be made to a quadratic function to shift the graph horizontally?
A translation.
What does it mean when the graph of a quadratic function crosses the x axis twice?
When the graph of a quadratic crosses the x-axis twice it means that the quadratic has two real roots. If the graph touches the x-axis at one point the quadratic has 1 repeated root. If the graph does not touch nor cross the x-axis, then the quadratic has no real roots, but it does have 2 complex roots.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
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.
