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stich3 [128]
3 years ago
12

Combine like terms: 2y^2 + 2(4y^2 − 3)

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

10y^2-6

Step-by-step explanation:

2y^2=2(4y^2-3)

2x4y^2=8y^2

2x(-3)=(-6)


2y^2+8y^2-6

10y^2-6

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We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is \frac{7\pi}{12}. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is y=A\cos(b(x-c))-d, where,

A = Amplitude,

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The equation of parent cosine function is y=\cos(x). Since function is reflected about x-axis, so our function will be y=-\cos(x).

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Upon substituting our given values in general cosine function, we will get:

f(x)=-11\cos(\frac{24}{7}x)-9

Therefore, our required function would be f(x)=-11\cos(\frac{24}{7}x)-9.

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