0
Substitute 0 as x to get the y-intercept.
To get the intersections on the x-axis you need to factorise and then the x values that make each bracket zero is the value.
E.g.
x2 + 10x + 7 = 0
(x + 5)(x + 2) = 0
x1 = -5 , x2 = -2
So the y-intercept is 7, and the x-intercepts are at x=-5 and x=-2
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Why does y equals 0 when solving a quadratic equation?
Because when your solving a quadratic equation your looking for x-intercepts which is where why equals 0 and x equals what ever the answer is.
What are the x-intercepts of the graph of y equals 12x2 - 5x - 2?
Using the quadratic equation formula: x = -1/4 and x = 2/3
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
Find the x-intercepts for the parabola defined as y equals -9 x to the second power-6x plus 9 answer as two ordered pairs?
The x intercepts are when y=0. Substitute the zero in for all y and then solve. Use quadratic formula and reduce. I got (-1+/- sqrt 10)3 about .72075922 and -1.387425887
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.
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.
How do you find x intercepts in a quadratic function?
The quadratic (parabola) intercepts the x-axis when y = 0. So substitute y=0 into y = f(x). Then you can solve for the x-values by any number of ways: Factoring, completing the square, or Quadratic Formula. It may turn out that the values of x which satisfies y=0 are complex {have an imaginary component}, which will tell you that the parabola does not have an x-intercept.
Why does y equals 0 when solving a quadratic equation?
Because when your solving a quadratic equation your looking for x-intercepts which is where why equals 0 and x equals what ever the answer is.
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.
What are the x-intercepts of the graph of y equals 12x2 - 5x - 2?
Using the quadratic equation formula: x = -1/4 and x = 2/3
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.
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
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.
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 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
