Answer:
The answer to your question is:
Step-by-step explanation:
Data
f(x) = -2x² + 8x - 2
Process
-2x² + 8x = y + 2
-2(x² - 4x + 4) = y + 2 - 8
-2(x - 2)² = y - 6
(x - 2)² = 1/2 (y - 6)
Vertex = (2, 6)
Axis of symmetry = x = 2
y-intercept
f(0) = -2(0)² + 8(0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
Domain (-∞, ∞)
Range (-∞, 6]
See the graph below
Answer:
Part 1 .
As per the given statement: In t hours the train has traveled s miles.
Distance of the train = s mile
Time = t hours
Formula for :
Speed of the train(v) =
or
mph .....[1]
Substitute the value of t = 3 hours and s = 180 miles in [1], to solve for v;
Therefore, the speed of the train(v) is, 60 mph
Part 2.
Similarly,
The formula for speed of the train (v) is given by;
Substitute the value of t = 2.5 hours and s = 225 miles to solve for v;
Therefore, the speed of the train(v) is, 90 mph