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The quadratic equation is y=ax^2 +bx +c. So, you substitute in the values of a, b, and c to the quadratic formula (x= -b +/- \|b^2-4ac all over 2a) in order to find the x value then, substitute in x to the quadratic equation and solve. You will have point (x,y) to graph
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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 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.
What is the name of the graph of a quadratic function?
The parabola
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.
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.
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.
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.
The graph of a quadratic function?
Yes. And the question is ...
Always use the vertex and at least points to graph each quadratic equation?
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
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.
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.
