Answer:
![y=4x^2+8x-12](https://tex.z-dn.net/?f=y%3D4x%5E2%2B8x-12)
Step-by-step explanation:
we know that
The quadratic equation in vertex form is equal to
![y=a(x-h)^2+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk)
where
a is the leading coefficient
(h,k) is the vertex of the quadratic equation
Remember that
In a quadratic equation the turning point is the same that the vertex
so
(h,k)=(-1,-16)
substitute
![y=a(x+1)^2-16](https://tex.z-dn.net/?f=y%3Da%28x%2B1%29%5E2-16)
we have one zero at (-3,0)
substitute and solve for a
![0=a(-3+1)^2-16](https://tex.z-dn.net/?f=0%3Da%28-3%2B1%29%5E2-16)
![0=4a-16\\4a=16\\a=4](https://tex.z-dn.net/?f=0%3D4a-16%5C%5C4a%3D16%5C%5Ca%3D4)
substitute
![y=4(x+1)^2-16](https://tex.z-dn.net/?f=y%3D4%28x%2B1%29%5E2-16)
Convert to standard form
![y=4(x^2+2x+1)-16\\y=4x^2+8x+4-16\\y=4x^2+8x-12](https://tex.z-dn.net/?f=y%3D4%28x%5E2%2B2x%2B1%29-16%5C%5Cy%3D4x%5E2%2B8x%2B4-16%5C%5Cy%3D4x%5E2%2B8x-12)
Answer:
OB) 4y-2
Distribute it first, then add/subtract similar terms
Answer: B
Step-by-step explanation:
<N and <P are equal since MN = MP. So the only angle that could be obtuse is <M
Answer:
Kindly check explanation
Step-by-step explanation:
Total number of coin flips = 50
Number of times both coins landed head up = 20.
Hence probability of having two heads :
Probability = required outcome / Total possible outcomes
P(both heads up) = 20/50
Comparing 20/50 to 50%
We convert 20/50 to percentage :
(20/50) × 100%
0.4 × 100% = 40%
20/50 is equivalent to 40%
Hence, 40% is less than 50%
(7/15)/(3/5)
easy
(a/b)/(c/d)=(a/b)(d/c)
invert and multiply (what it does is it cancels the bottom and makes it one)
(7/15)/(3/5)=(7/15)(5/3)=35/45=7/9
answer is C