2 years ago

What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=|4+x|?

1 answer:

6 0

This is a horizontal translation to the LEFT of 4 units. If the number is inside the abs value bar it goes the opposite direction

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If the point (3/5,4/5) corresponds to an angle θ in the unit circle, what is tan θ ?

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A point M on the unit circle could be represented by (x , y), which coordinates are nothing but cos Ф (for x) & sin Ф (for y, hence:

tan Ф = sin Ф / cos Ф ==> tan Ф (4/5) / (3/5) ==> tan Ф =(4/3).

Now let's calculate the angle: tan⁻¹Ф ==> tan⁻¹(4/3) ≈43°

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