Answer:
See below.
Step-by-step explanation:
1/2 = shrink by a factor of 1/2.
+7 = moved up 7 units.
We know
In a function
x represents the input and y represents output
So
x is time
So
f(30) represents distance traveled in 30mins
The decay factor here is 0.85, and it means the car’s value changes by 85% every year, or goes down by 15% every year.
The formula for exponential decay is y = a(1 - b)^x
y is the final amount.
a is the initial amount, which is $30,000 in this case.
(1 - b) is the decay factor, or the number the original value gets multiplied by each year, which is 0.85 here.
b is the percent decrease in decimal form. In this case, we can find it using the formula (1 - b) = 0.85. We soon find that b = 0.15, or 15%.
x is the number of years.
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Answer:
y = 5(x - 3)² + 2
Step-by-step explanation:
y = a(x - h)² + k
y = a(x - 3)² + 2
7 = a(4 - 3)² + 2
a = 5
y = 5(x - 3)² + 2
