Answer:
-----> vertex form
-----> standard form
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
![y-k=a(x-h)^{2}](https://tex.z-dn.net/?f=y-k%3Da%28x-h%29%5E%7B2%7D)
where
(h,k) is the vertex of the parabola
In this problem we have
![(h,k)=(1,-2)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%281%2C-2%29)
![Point(3,6)](https://tex.z-dn.net/?f=Point%283%2C6%29)
substitute the values and solve for a
![6-(-2)=a(3-1)^{2}](https://tex.z-dn.net/?f=6-%28-2%29%3Da%283-1%29%5E%7B2%7D)
![8=a(2)^{2}](https://tex.z-dn.net/?f=8%3Da%282%29%5E%7B2%7D)
![8=a(4)](https://tex.z-dn.net/?f=8%3Da%284%29)
![a=2](https://tex.z-dn.net/?f=a%3D2)
the equation in vertex form is equal to
![y+2=2(x-1)^{2}](https://tex.z-dn.net/?f=y%2B2%3D2%28x-1%29%5E%7B2%7D)
Find the equation of the parabola in standard form
we know that
the equation of the parabola in standard form is equal to
![y=ax^{2}+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E%7B2%7D%2Bbx%2Bc)
we have
![y+2=2(x-1)^{2}](https://tex.z-dn.net/?f=y%2B2%3D2%28x-1%29%5E%7B2%7D)
convert to standard form
![y+2=2(x^{2}-2x+1)\\ \\y+2= 2x^{2}-4x+2\\ \\y=2x^{2}-4x+2-2\\ \\y=2x^{2}-4x](https://tex.z-dn.net/?f=y%2B2%3D2%28x%5E%7B2%7D-2x%2B1%29%5C%5C%20%5C%5Cy%2B2%3D%202x%5E%7B2%7D-4x%2B2%5C%5C%20%5C%5Cy%3D2x%5E%7B2%7D-4x%2B2-2%5C%5C%20%5C%5Cy%3D2x%5E%7B2%7D-4x)
Answer:
Minus a ? I dont get it. While a linear equation is a equation between two variables that gives a straight line when plotted on a graph.
Answer:
The answer is option C
Step-by-step explanation:
To find the indicated angle we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 37
The hypotenuse is 41
So we have
sin ? = 37/41
? = sin-¹ 37/41
? = 64.4805
? = 64° to the nearest degree
Answer:
The correct answer to the question is
e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment.
Step-by-step explanation:
The margin of error expresses the number of percentage points of error is contained within survey result. A large error margin therefore reduces the level of dependence on a given statistic. The margin of error describes the expected variation between the statistic sample and the real population value.
In the question, the option
e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment , clearly depicts the definition of margin of error as it shows the expected variance from te real population
Answer:
The correct answer is:
Nonresponse bias (C.)
Step-by-step explanation:
Nonresponse bias in sampling is one that arises due to the unwillingness or inability of subjects in a population to participate in a survey.