Answer:
(0 , 1), (4, 9).
Step-by-step explanation:
y = x2 – 2x+1
y = 2x+1
Substitute y = 2x + 1 into the first equation.
2x + 1 = x^2 - 2x + 1
x^2 - 2x - 2x = 0
x^2 - 4x = 0
x(x - 4) = 0
x = 0, 4.
When x = 0, y = 1.
When x = 4, y = 8 + 1 = 9.
We can use the formula for a parabola:

where

is the origin of the parabola and

is some constant scaling factor.
We are given that the center of the arch on the bridge is

. This is our origin. So our equation is:

Now we just need to find c. We can do this by plugging in one of the other points given:


So our final equation for the arch of the bridge is:
<span>Seven thousand is a composite number, because it has more divisors than 1 and itself.</span>