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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.
How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?
Once.
The graph of a quadratic function has it's turning point on the x-axis. How many roots does the function have?
If the turning point of a quadratic function is on the x-axis, it means the vertex of the parabola touches the x-axis, indicating that the function has exactly one root. This occurs when the discriminant of the quadratic equation is zero, resulting in a double root at the turning point. Therefore, the function has one real root.
If the graph of quadratic function x has a minimum point and intersects the axis of x at 4 and m If the axis of symmetry of the graph is x equal to 5 state the value m and hence state the function x?
...i need the answer to that too...
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
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.
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.
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.
What is the maximum number of times the graph of the quadratic function can cross the x-axis?
Two.
How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is positive?
It will cross the x-axis twice.
If the discriminant is zero the graph of a quadratic function will cross or touch the x-axis time s?
It will touch the x-axis and not cross it.
If the discriminant is zero the graph of a Quadratic function will cross or touch the x-axis time(s)?
It will touch the x-axis once.
How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?
Once.
The graph of a quadratic function has it's turning point on the x-axis. How many roots does the function have?
If the turning point of a quadratic function is on the x-axis, it means the vertex of the parabola touches the x-axis, indicating that the function has exactly one root. This occurs when the discriminant of the quadratic equation is zero, resulting in a double root at the turning point. Therefore, the function has one real root.
If the discriminant is negative the graph of the quadratic function will cross or touch the x-axis how many times?
It would not touch or intersect the x-axis at all.
What does the rule for a quadratic function tell you about how the graph of the function will look?
If the quadratic function is written as ax2 + bx + c then if a > 0 the function is cup shaped and if a < 0 it is cap shaped. (if a = 0 it is not a quadratic) if b2 > 4ac then the equation crosses the x-axis twice. if b2 = 4ac then the equation touches the x-axis (is a tangent to it). if b2 < 4ac then the equation does not cross the x-axis.
If the graph of quadratic function x has a minimum point and intersects the axis of x at 4 and m If the axis of symmetry of the graph is x equal to 5 state the value m and hence state the function x?
...i need the answer to that too...
