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Only if the discriminant of its equation is greater than zero will it have 2 different x intercepts.

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Q: Does every quadratic function have 2 x intercepts?
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Is it possible for the graph of a quadratic function to have two y-intercepts?

Yes. A quadratic function can have 0, 1, or 2 x-intercepts, and 0, 1, or 2 y-intercepts.

Which quadratic function when graphed has x-intercepts of -5 and 2?

(x + 5)(x - 2)x2 + 3x - 10this is your quadratic equation

You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial what?

You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial factors! Source: I am in Algebra 2 Honors!

In the case of a quadratic function what is the number of x and y intercepts the function may have?

The greatest possible number of intercepts is: 2 of one axis and 1 of the other axis.The smallest possible number of intercepts is: One of each axis.

How do you find the x-intercepts of this function parabola?

Solve the quadratic equation.If y = ax^2+bx+c then the intercepts arex = [-b +/- sqrt(b^2 - 4ac)]/(2a).The solutions are real if and only if b^2 >= 4ac

Is it possible for a quadratic equation to have more than 2 solutions?

No because quadratic equations only have 2 X-Intercepts

How do you compute the intercepts of a quadratic function?

Use the quadratic equation. If ax+bx+c=0 x=(-b±(b^2-4ac)^(1/2))/2a. You could also complete the square, factor,or graph the equation.

How aerospace engineers use the quadratic equation?

The quadratic equation is used to find the intercepts of a function (F(x)=x^(2*n), n being an even number) along its primary axis (typically the x axis). Many equations follow this form. The information given by the quadratic equation depends on what your function is pertaining to. If say you have a velocity vs time graph, when the function crosses the xaxis your particle has changed from a positive velocity to a negative velocity. This information can be useful to determine the accompanying behavior of your position. The quadratic equation is simply a tool to find intercepts of a function.

What is the degree of a quadratic function?

A quadratic function will have a degree of two.

What does factoring a quadratic allow you to do?

Factoring a quadratic allows you to solve the x and y intercepts. The x-intercepts in the factored form are the inverse of the constants. The y-intercept is the product of the x-intercepts multipied together. Example: x²-10x-24 = (x+2)(x-12) +2 and -12 are the constants. So ur x-intercepts are (-2,0) (12,0). The y intercept is -24 because -2 X 12 = -24.

Why is a quadratic function a function of x having the highest degree 2?

It follows from the definition of a quadratic funtcion.

Why is a quadratic function called a quadratic function?

A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.