If b=a+1/3, what is the value of b-1 in terms of a? explain.
1 answer:
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The last image is the graph of
In fact, it is an increasing exponential function, and it passes through the points , which reflects the fact that
and
, which reflects the fact that
.
Now, is a child of the parent function we just described. Precisely, it is the result of the transformation
In general, every time you perform a transformation like , you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case , we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Simplify the ration expression
start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator
when you do so, the result is
now, since there is an x-2 in the numerator and denominator, they "cancel" out since
however, only when
since
when you cancel out the x-2, you're left with 3
hence, your answer is C
start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator
when you do so, the result is
now, since there is an x-2 in the numerator and denominator, they "cancel" out since
however, only when
since
when you cancel out the x-2, you're left with 3
hence, your answer is C