Answer: y = 1/3x +2
Step-by-step explanation:
The equation of line in slope - point form is given as:
y - = m ( x -
)
m = 1/3
= 0
= -6
substituting into the formula , we have
y - 0 = 1/3 ( x - {-6} )
y = 1/3 (x+6)
y = 1/3x +2
Solve for x ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1 answer:
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Given the function:
Let's find the amplitude and period of the function.
Apply the general cosine function:
Where A is the amplitude.
Comparing both functions, we have:
A = 1
b = 4
Hence, we have:
Amplitude, A = 1
To find the period, we have:
Therefore, the period is = π/2
The graph of the function is shown below:
The parent function of the given function is:
Let's describe the transformation..
Apply the transformation rules for function.
We have:
The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.
ANSWER:
Amplitude = 1
Period = π/2
Transformation = horizontal compression.
I'll use subscript notation for brevity, i.e. .
By the chain rule,
We have
and
When , we have
and the partial derivatives take on values of
So we end up with