Answer:
![\displaystyle [-1, -4] → Vertex \\ [0, -3] → y-intercept \\ [-3, 0], [1, 0] → x-intercepts](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B-1%2C%20-4%5D%20%E2%86%92%20Vertex%20%5C%5C%20%5B0%2C%20-3%5D%20%E2%86%92%20y-intercept%20%5C%5C%20%5B-3%2C%200%5D%2C%20%5B1%2C%200%5D%20%E2%86%92%20x-intercepts)
Step-by-step explanation:
The y-intercept is your <em>C</em>, which is −3.
Now, to get both x-intercepts, factor the trinomial:
![\displaystyle [x - 1][x + 3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Bx%20-%201%5D%5Bx%20%2B%203%5D)
When set equal to zero, you will get −3 and 1.
Finally, to get the vertex, convert this Quadratic Equation to <em>Vertex Form</em> by completing the square,
:
![\displaystyle f(x) = x^2 + 2x - 3 \\ f(x) = x^2 + 2x + 1 + k \\ f(x) = x^2 + 2x + 1 - 4 \\ \\ f(x) = [x + 1]^2 - 4 → [-1, -4] = Vertex](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%20%3D%20x%5E2%20%2B%202x%20-%203%20%5C%5C%20f%28x%29%20%3D%20x%5E2%20%2B%202x%20%2B%201%20%2B%20k%20%5C%5C%20f%28x%29%20%3D%20x%5E2%20%2B%202x%20%2B%201%20-%204%20%5C%5C%20%5C%5C%20f%28x%29%20%3D%20%5Bx%20%2B%201%5D%5E2%20-%204%20%E2%86%92%20%5B-1%2C%20-4%5D%20%3D%20Vertex)
* Recall, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.