Equation of the parabola: y = ax^2 + bx + c. Find a, b, and c.
x of axis of symmetry:
x
=
−
b
2
a
=
3
-> b = -6a
Writing that the graph passing at point (1, 0) and point (4, -3):
(1) 0 = a + b + c -> c = - a - b = - a + 6a = 5a
(2) -3 = 16a + 4b + c --> -3 = 16a - 24a + 5a = -3a --> a = 1
b = -6a = -6; and c = 5a = 5
y
=
x
2
−
6
x
+
5
Check with x = 1: -> y = 1 - 6 + 5 = 0. OK
Answer:
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Step-by-step explanation:
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A piecewise function is a function that behaves differently in different intervals.
Here the piecewise function is:
f(x) = $2 if x < 5
f(x) = x - $3 if x ≥ 5
We know that:
"Fun park charges an entry fee of $2 for any family with less than 5 members."
"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."
If we define x as the number of members of a family, the function of the price will be:
f(x) = $2 if x < 5 (the cost is $2 if the family has less than members)
f(x) = x - $3 if x ≥ 5 (the cost if the family has 5 members or more)
If you want to learn more, you can read:
brainly.com/question/12561612
They are not absolutely truths because they are not found to be truth of false they are things that are only a thing carried over they years and not know if they are the truth or if they are false
