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No, sometimes the entire graph is completely above (or completely below) the x axis.
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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.
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
Which quadratic function when graphed has x-intercepts of -5 and 2?
(x + 5)(x - 2)x2 + 3x - 10this is your quadratic equation
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.
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!
What determines if a quadratic function has no x-intercepts?
If the quadratic function is written as ax2 + bx + c, then it has no x-intercepts if the discriminant, (b2 - 4ac), is negative.
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.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
Why do you need x intercepts for quadratic equations?
so you can find the solution for the x-values. the x-intercepts are when the graph crosses the x-axis
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
Which quadratic function when graphed has x-intercepts of -5 and 2?
(x + 5)(x - 2)x2 + 3x - 10this is your quadratic equation
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 are the zeros of functions and what do they represent?
The zeros of functions are the solutions of the functions when finding where a parabola intercepts the x-axis, hence the other names: roots and x-intercepts.
Is it true that some quadratic functions cannot be graphed?
All quadratic functions with real coefficients can be graphed on a standard x-y graph. Not all quadratic functions have real roots, maybe that's what you were thinking of?
How do you make a graph of a quadratic function that has x-intercepts at 0 and 4?
That's not enough information to draw the graph. All you know is that it crosses the x-axis at those 2 points. You don't know whether it opens upward or downward, or how far the nose is above or below the x-axis. You need more information about the function before you can graph it. This is just another way of saying that there are an infinite number of different quadratic functions that all have those same x-intercepts.
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!
For which values does the cosecent functions have x intercepts?
The cosecant function, being defined as 1÷sin(x), has no x intercepts. It has y intercepts at ±∞. (infinity and -infinity)
