Question

jenny solves x^2 + 2x- 3 = 0 and finds the solutions are x = -3 and 1 she then graphs the function and gets the graph shown how are the solutions related to the y-intercept?

Answer 1

On usatestperp its A: They are the same values.

Explanation:

The x-intercepts are were the graph crosses the x-axis. From the graph you can see that it crosses at x = -3 and 1, which are the solutions. Therefore, they are the same values.

Answer 2

See explanation

Explanation:

Jenny solves
`x^2 + 2x-3 = 0` and finds the solutions are
`x = -3` and
`x=1.`

So, she can write this equation as

`(x-(-3))(x-1)=0\\ \\(x+3)(x-1)=0`

The y-intercept is at
`x=0.` Substitute it into the previous equation:

`(0+3)(0-1)=3\cdot (-1)=-3`

From the graph, she can see that y-intercept is at point (0,-3), so y-intercept -3 is the product of solutions to the quadratic equation.