The transformation of a function may involve any change. The function with the graph are given below.
<h3>How does the transformation of a function happen?</h3>The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Vertical shift:
Stretching:
The real graph of the function is f(x)=x², now if the graph of the given function can be found by using the transformation rule as shown above. The function with the graph are given below.
Learn more about Transforming functions:
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Answer:
Table shown below
Step-by-step explanation:
To solve this problem let's use proportions.
If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price
For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.
Simplifying the fraction, we get 1/3 or 0.33 pounds
