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.
Answer:
Correct me if i am wrong but i believe it is 126
Step-by-step explanation:
Angle BOC = 252 (angles around a point = 360 so 360-108 =252)
x=126 (The ange at the centre of a circle is twice the size the angle at the circumference. 252 is at the centre and x is at the circumference so 252/2 = 126)
Answer: the correct answer was- A binomial cumulative distribution function should be used because the question asks for determining the probability that at least five students have blonde hair.
i got this question right
Step-by-step explanation:
Answer:
CB = sqrt62
Step-by-step explanation:
The pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2 = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so 4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62
Sorry if this isn't exactly right, there's no exact way to find DB.
Answer:
x< -10
Step-by-step explanation:
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