Which transformations are needed to change the parent cosine function to y= 3cos(10(x-pi) )?

2 answers:

6 0

<span>The parent cosine function can be transformed and translated. So, from the basic function cos(x) we can obtain function acos(bx+c). In our case, a=3- amplitude, b=10- the period change and c=-pi- the phase shift. So, the parent cosine function is mutiplied with 3 (which gives the amplitude of the function, 3*0.5=1.5). The period of the function is changed, and is 2pi/b=2pi/10=pi/5 and the cos(x) is phase shifted for c/b=-pi/10.</span>

galina1969 [7]3 years ago

3 0

Answer:

I think it´s B

Step-by-step explanation:

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Which two points satisfy y=-x2(^)+2x+4 and x+y=4?

Wewaii [24]

Use subtitution method to solve the problem.

First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x

Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3

Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
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For x = 3
y = 4 - x
y = 4 - 3
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The solution is (0,4) and (3,1). The answer is option b

5 0

3 years ago

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olga55 [171]

Answer:

slope or m = -1

Step-by-step explanation:

The slope formula is:

y2-y1 -3 - 1 -4 -4

-------- = -------------- = --------- = ----- = -1

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