What is the domain of the function?
1 answer:
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Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by
x coordinate =
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)
Answer:
Distance to appointment point = 5 miles
Step-by-step explanation:
Let s be the distance to the appointment point,
We have Maria drove to a business appointment at 50mph in the morning.
Time taken in the morning
Her average speed on the return trip in the afternoon was 40 mph.
Time taken in the afternoon
Given that the return trip took 1/4hr longer because of traffic.
That is
Substituting
Distance to appointment point = 5 miles