Answer:
5.50 years
Step-by-step explanation:
A = P
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
3178 = 2000(1+.086/2)^2t
t = 5.499904413
11. How is the graph of g(x) = 5x² - 2 related to the graph of f(x)= x2?
1 answer:
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Answer:
Shift 4 units down:
Stretching f(x) by 4 :
Shift 4 units left:
Compress by 1/4 units :
Step-by-step explanation:
Given
Required
Match the transformations (See attachment)
<u>Shift 4 units down</u>
Shifting down a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Stretching f(x) by 4 </u>
Stretching a function by some units is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Shift 4 units left</u>
Shifting a function to the left is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(x - 4)
Hence:
<u>Compress by 1/4 units </u>
This means that the function is stretched by
Compressing a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(4x)
Hence:
