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How are solution and x-intercept and zero of a function and and root related?
solutions are the well solution to the problem. X-intercepts are wherever a graph cross the x axis, which are hte solutions when you have to find out what x is, zeros are pretty much the same thing although i think that include y-intercepts as well..... not sure. and roots are the same thing as x-intercepts. so they are all more or less the same thing
What is the relationship between the vertex and the x intercepts?
In general, there is no relationship.
What represents the vertex and two x-intercepts of y equals x2-2x-35?
(1,-36); -5 and 7y = x2-2x-35; f(x) = ax2+bx+cvertex, method 1:There is a formula for the vertex, if you can remember it. (h,k) = [-b/2a, f(-b/2a)].-b/2a = 2/2x1 = 2/2 = 1. f(1) = 12-2x1-35 =1-2-35 = -36. The vertex is (1,-36).vertex, method 2:Otherwise you complete the square to convert to the vertex form, y = a(x-h)2 + k. Complete the square for x2-2x: the constant term will be (-2/2)2 = (-1)2 = 1.y = (x2-2x+1)-1-35 = (x-1)2 -36 ==> The vertex is (h,k) = (1,-36).x-intercepts, method 1:To find the x-intercepts, let y=0: 0 = x2-2x-35 (x-7)(x+5) = 0 x-7=0 or x+5=0 x=7 or x=-5. The intercepts are -5 and 7.x-intercepts, method 2:There is also a nice trick to find the intercepts: 36 = 62. the intercepts are 1+/- 6 = 7 and -5.
When the graph of a quadratic function crosses the x-axis twice the x-coordinate of the vertex lies between the two x-intercepts?
The x co-ordinate of a quadratic lies exactly halfway between the two x-intercepts, assuming they exist. Alternatively, the x co-ordinate can be found using the formula -B/(2A), when the function is in the form, y = Axx + Bx + C.
What are the intercepts of 2x 3y-6z equals 30?
x: x = 15 y: y = 10 z: z = -5
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.
When the function below is graphed how many x-intercepts does it have?
If the problem is 2x^2+11x+12, then it has 2 x-intercepts. (Correct On Apex)
What is the x coordinate for all y-intercepts?
The x coordinate for all y intercepts is 0, just as the y coordinate for all x intercepts is 0.
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)
How are solution and x-intercept and zero of a function and and root related?
solutions are the well solution to the problem. X-intercepts are wherever a graph cross the x axis, which are hte solutions when you have to find out what x is, zeros are pretty much the same thing although i think that include y-intercepts as well..... not sure. and roots are the same thing as x-intercepts. so they are all more or less the same thing
How many x- intercepts can a parabola have?
A parabola can have zero, one, or two x-intercepts. If the parabola opens upwards and the vertex is above the x-axis, it will have no x-intercepts. If the vertex touches the x-axis, there is one x-intercept (a double root), and if it opens upwards or downwards and intersects the x-axis at two points, there are two x-intercepts. The number of x-intercepts is determined by the discriminant of the quadratic equation representing the parabola.
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
What are x and y intercepts?
The x and y intercepts are where a line on a graph intersects (crosses over) the x or y axis.
Do all graphs of linear equations have x intercepts?
YES, all linear equations have x-intercepts. because of the x, y has to be there 2!
Do functions always have x and y Intercepts?
the x is dependent and the y is independent and the x numbers cant repeat themself and yes they do have intercepts
What is the the x-intercepts and y-intercepts to this problem 2x y 13?
Without an equality sign and not knowing the plus or minus values of y and 13 the information given can't be considered to be a straight line equation
