This is a vertical parabola which opens upwards
we have the general formula
(x - h)^2 = 4p(y - k) where p is the y coordinate of the focus
y/14 = x^2 - x /14 - 1/14
add 1/14 to both sides
y/14 + 1 /14 = x^2 - x /14
now complete the square
y/14 + 1/14 = x^2 - x/14 + 1/28^2
y/14 + 1/14 = (x - 1/28)^2
(x - 1/28)^2 = 1/14( y + 1)
comparing this with the general form:-
4p = 1/14
p = 1/56
so the focus is at (h,p) = (1/28, 1/56)
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Answer:
c. In 2 seconds, the commuter train travels 120 feet.
Step-by-step explanation:
Given
The attached graph
Required
What does x-coordinate of 2 represents
Represent this coordinate with (x,y)
From the graph:
when 
Note that:
x = time and y = distance
So:

Which means:
At 2 seconds, the train has travelled a distance of 120ft
<em>From the list of options, (c) is correct</em>
Answer:
Step-by-step explanation:
A = 8(14) - 9(8 - 4) = 76 m²
To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.
The elevator starts on the twentieth floor, so we will represent that with 20.
20
It goes down 11 floors, so we can represent that with a -11.
20-11=9
Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.
9+5=14
Using the math above, we can see the elevator is on the 14th floor.