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For this case, the parent function is given by:
Applying the following transformation we have:
Vertical displacement
Assume k> 0,
To graph y = f (x) + k, move the graph k units up.
We have then:
Answer:
the equation of F (x) is given by:
Applying the following transformation we have:
Vertical displacement
Assume k> 0,
To graph y = f (x) + k, move the graph k units up.
We have then:
Answer:
the equation of F (x) is given by:
Fractions can be defined as the representation of a part of a whole. A fractions consists of the numerator and the denominator.
let f(x) =
then 'p' represents the numerator; while 'q' represents the denominator;
where p and q belong to integers for simple fractions, while when p and q belong to other sets they can from complex fractions.
To convert a fraction into an integer we need to multiply the fraction with the the denominator so that it cancels out leaving only the numerator behind.
For fractions present in equations to get rid of all the fractions we new to multiply the equation by the LCM of the denominator of all the fractions.
Where LCM is the least common multiple.
To give an example:
let y = X +
Then the LCM for 4 and 5 will be 20;
as factor of 4 are 1,2 and that of 5 are 1,5
then to eliminate the fractions from the equation
Multiplying both sides by 20
y x 20= X x 20 +
x 20
20y= 3 x 5X + 9 x 4
20y = 15X + 36
Learn more about Fractions at:
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