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Damm [24]
3 years ago
13

Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x + 3)? A) Shift to the right 3

units. B) Shift to the left 3 units. C) Shift up 3 units. D) Shift down 3 units
Mathematics
2 answers:
dangina [55]3 years ago
7 0

Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x) + 3?

Answer:

Shift up three units

Step-by-step explanation:

I took the test

kompoz [17]3 years ago
5 0
The parent function is : f ( x ) = x³
f ( x + 3 ) = ( x + 3 )³  
It is B ) shift to the left 3 units.
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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
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\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

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\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
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