Question

what are the x and y intercepts of the graph of y=x2 +x -6

Answer 1

The x-intercepts are found by factoring your quadratic and then solving for x in each factor you have. The y-intercept is simply found by making x = 0 and then solving. Do you know how to factor quadratics ok?

Answer 2

Let x = 0, find y. That is the x-intercept.
Let y = 0, solve for x. Each value of x is an x-intercept, also called a root or a zero of the quadratic equation.

Answer 3

ok for y i got (0,-6)

Answer 4

i dont know how to solve for the x

Answer 5

Well, when factoring a quadratic, something like ax^2 + bx + c = 0, you need to find factors of a times c that will add up to b. In this equation, you need two factors of 1*-6 that will add up to 1

Answer 6

so i need two numbers that when multiplied get -6 and added get 1?

Answer 7

Exactly.

Answer 8

-2 and 3 or 3 and -2

Answer 9

You would pick 3 and -2 in this case since you need a positive 1. Now depending on the problem, the next step depends on what a is. If it is not one, you have a little bit extra work. In case it is 1, so it's easier. All you do is pair an x with 3 and an x with -2. You would (x+3)(x-2). Kinda make sense?

Answer 10

yeah i got the answer i needed thanks

Answer 11

Sure, np.