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The equation of the new function is
Explanation:
The Parent function is
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by
Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence, and
Substituting these values in the formula, we have,
Thus, the equation of the new function is
Answer:
C. It represents the product of two rational numbers and its equivalent to a rational number.
Step-by-step explanation:
5 is a natural number, a real number and a rational number.
is a real number and a rational number.
The product of 5 × = 1.25 which is also a rational number in addition to being a real number.