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The x-intercepts are obtained by solving the equation for those value of x for which y or f(x) = 0 : where f(x) is the equation of the curve or line.
If f(x) is a straight line, and the equation is in the form y = mx + c, then y = 0 gives x = -c/m
For a quadratic, of the form y = ax2 + bx + c, the x-intercents are the root sof the equation, ie [-b ± sqrt(b2 - 4ac)]/(2a). The intercepts are real only when the discriminant, b2 - 4ac is non-negative.
What else can I help you with?
What are the intercepts of this line?
To determine the intercepts of a line, you need to find where the line crosses the x-axis and y-axis. The x-intercept occurs when y = 0, and the y-intercept occurs when x = 0. If you have the equation of the line, you can substitute these values to find the respective intercepts. Please provide the equation of the line for specific intercept values.
What is the intercept of the equation y equals -x?
The 'x' and 'y' intercepts of that equation are both at the origin.
What are the x and y intercepts of the equation 5-y-3x?
The question does not contain an equation (or inequality) but an expression. An expression cannot have intercepts.
How do you determine the intercepts from an equation or graph?
From the equation, the y intercept is simply determined by setting x = 0. The x intercept(s) are generally much harder to find: you will need to find the solutions of y = 0 [or f(x) = 0]. From the graph the intercepts are the coordinates of the points at which the graph crosses the axes.
How would you use intercepts to find the vertex in a quadratic equation with two x intercepts?
The vertex must be half way between the two x intercepts
What are the intercepts of the equation x4-2x2-8?
To find the intercepts of the equation (y = x^4 - 2x^2 - 8), we need to determine where the graph intersects the x-axis and y-axis. For the y-intercept, set (x = 0), yielding (y = -8), so the y-intercept is (0, -8). To find the x-intercepts, set (y = 0) and solve the equation (x^4 - 2x^2 - 8 = 0); this can be factored or solved using substitution methods, leading to the x-intercepts at approximately (x \approx 2.414) and (x \approx -2.414).
How do you get the equation of of a parabola from its x-intercepts?
Let us say you X intercepts are -2 and 3 set up (X + 2)(X - 3) FOIL X^2 - X - 6 = 0 ----------------------- your parabolic equation
Determine the coordinates of the x-intercepts for the quadratic equation 5x squared minus 21x plus 4 equals 0?
type you answer here!
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
What is the greatest number of x- and y-intercepts that a circle can have?
A circle represented by an equation x^2 + y^2 = r^2 or a circular object represented by an equation Ax^2 + By^2 = r^2 has 2 y-intercepts and 2 x-intercepts.
Find the x intercept or intercepts and the coordinates of the vertex for the parabola x2-4x-12 if there is more than one x intercept separate them with commas?
The x-intercept of an equation is any location where on the equation where x=0. In the case of a parabolic function, the easiest way to obtain the x intercept is to change the equation into binomial form (x+a)(x-b) form. Then by setting each of those binomials equal to zero, you can determine the x-intercepts.
Does every quadratic function have 2 x intercepts?
Only if the discriminant of its equation is greater than zero will it have 2 different x intercepts.
