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UNO [17]
3 years ago
13

The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it

1 unit up.
What is the equation of the new function g(x)?

g(x)= ?
Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

The equation of the new function is g(x)= cos4 x+1

Explanation:

The Parent function is f(x)=cos x

We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.

The function transformation formula is given by

f(x)=a \cos b(x-c)+d

Where a stretches the function vertically

b compresses or stretches it horizontally,

c shifts the function left or right

d shifts the function up or down

Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.

Hence, b=4 and d=1

Substituting these values in the formula, we have,

g(x)=cos4x+1

Thus, the equation of the new function is g(x)= cos4 x+1

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Need brief explanation about why false is correct
anyanavicka [17]

<u>We are given the equation:</u>

(a + b)! = a! + b!

<u>Testing the given equation</u>

In order to test it, we will let: a = 2 and b = 3

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6 0
2 years ago
Use point slope form to write the lines with the given slope and point in slope intercept form.m= -1(-5,-4)
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y-y1=m(x-x1)

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The equation of the line in the slope-point form is y + 4 = -1(x + 5)

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