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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.
Where the graph crosses the y-axis?
x = 0
Where an equation crosses the horizontal axis?
An equation crosses the horizontal axis at points where the output value (usually represented by (y)) is zero. These points are known as the roots or x-intercepts of the equation. To find these points, you set the equation equal to zero and solve for the variable, typically represented as (x). Graphically, this represents the points where the graph of the equation intersects the x-axis.
How can tbe x intercept and y intercept be used to graph a linear equation?
To graph a linear equation, the x-intercept and y-intercept provide two key points on the line. The x-intercept is where the line crosses the x-axis (where y = 0), and the y-intercept is where it crosses the y-axis (where x = 0). By plotting these two points on a Cartesian plane and drawing a straight line through them, you can accurately represent the linear equation. This method is particularly useful for quickly sketching the graph without needing to find additional points.
What is the x value of the point where a graph crosses the x-axis?
It can be casually called the x intercept, but it/they is/are the root(s) of the function represented by the graph
How do you find the zeros in an equation by looking on a graph?
They are all the points where the graph crosses (or touches) 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.
What does the discriminant tell you about the graph?
Whether the graph has 0, 1 or 2 points at which it crosses (touches) the x-axis.
What do the zeros of a polynomial function represent on a graph?
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
What is the points where a graph crosses the x-axis and y-axis?
It is at point of origin which is at (0, 0)
What is the point at which a graph crosses the x-axis?
For a line, this is the x-intercept. For a polynomial, these points are the roots or solutions of the polynomial at which y=0.
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.
Where the graph crosses the y-axis?
x = 0
Where an equation crosses the horizontal axis?
An equation crosses the horizontal axis at points where the output value (usually represented by (y)) is zero. These points are known as the roots or x-intercepts of the equation. To find these points, you set the equation equal to zero and solve for the variable, typically represented as (x). Graphically, this represents the points where the graph of the equation intersects the x-axis.
The x value of the point where a graph crosses the x axis?
It is the x intercept
What is the difference of x-intercept and y-intercept?
The x- and y-intercepts of a function are the points at which the graph of the function crosses respectively the x- and y-axis (ie. y=0 and x=0).
What is a root in a polynomial graph?
A root is the value of the variable (usually, x) for which the polynomial is zero. Equivalently, a root is an x-value at which the graph crosses the x-axis.
