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Answer:
Step-by-step explanation:
For a parent function f(x), the transformations ...
g(x) = a×f(x -h) +k
cause ...
Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...
horizontal shift left 3 units
vertical shift up 4 units
reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)
we know that
The exponential function is of the form
where
a is any value greater than
In General:
It is always greater than , and never crosses the x-axis
It always intersects the y-axis at
Its Domain is the Real Numbers
Its Range is the Positive Real Numbers
Examples
Let
1) For
2) For
3) For
4) For
therefore
the answer is the option
D.) exponential