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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.
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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.
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 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
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?
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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.
What word in algebra is used to determine the number of x-intercepts a quadratic has?
These are the real ROOTS of the quadratic equation when it equals zero. Example : x2- 7x + 10 = 0 can be written as (x - 5)(x - 2) = 0 Then x = 5 and x = 2 are the roots of this equation.
Find the x and y intercepts of 3x-2y6?
Given the linear equation 3x - 2y^6 = 0, the x and y intercepts are found by replacing the x and y with 0. This gives the intercepts of x and y where both = 0.
