How do you find the x and y intercepts?

College Algebra

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

How do I find the Y intercept of a parabola?

We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).

How do you find the x and y-intercepts of a rational function?

Answer: To find the x-intercept of a rational function, we substitute y = 0 in the function and find the corresponding value of x, and to find the y-intercept of a rational function, we substitute x = 0 in the function and find the corresponding value of y.

How do you find the x intercepts of a parabola using the quadratic formula?

To find the x-intercepts of a quadratic equation, let y = 0. Write down the new equation ax squared + bx + c = 0 and the quadratic formula that gives the solution as x = -b plus or minus the square root of (b squared – 4ac), all divided by 2a.

How many y intercepts can a parabola have?

A parabola can have 2 x-intercepts, 1 x-intercept or zero real x intercepts. If the parabola only has 1 x-intercept (see middle of picture below), then the parabola is said to be tangent to the x-axis.

How do you find the x-intercepts of a polynomial function?

How To: Given a polynomial function f, find the x-intercepts by factoring.

Set f(x)=0 f ( x ) = 0 .
If the polynomial function is not given in factored form: Factor out any common monomial factors. Factor any factorable binomials or trinomials.
Set each factor equal to zero and solve to find the x- intercepts.

How do you find the Y intercept in a quadratic function?

We find the y y -intercept by evaluating f(0) f ( 0 ) .
So the y y -intercept is at (0,−2) ( 0 , − 2 ) .
For the x x -intercepts, or roots, we find all solutions of f(x)=0 f ( x ) = 0 .
By graphing the function, we can confirm that the graph crosses the y y -axis at (0,−2) ( 0 , − 2 ) .