What is "shift y= 5x 3 units up"
2 answers:
<h2>Answer:</h2>
The shift of y=5x 3 units up is given by:
The transformation of the type:
f(x) to f(x)+k
is a translation or a shift of the original function f(x) ; k units up or k units down depending on k.
If k>0 then the shift is k units up.
and if k<0 then the shift is k units down.
Here the original function is given by:
Now, we have to shift the original function 3 units up.
Hence, the transformed function is given by:
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<h3>Answer: 
</h3>
The -3 is not in the exponent
Explanation:
The parent function is . Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.
You could look at other points as well, but I find working with x = 0 is easiest.
As a check, plugging x = 0 into g(x) leads to...
This confirms our answer.