Select the correct answer from each drop-down menu.
The function f is given by the table of values as shown below.

Drop down box options:
The parent function of the function represented in the table is: Linear, Exponential, Quadratic
If function f was translated down 4 units, the: x- and f(x), x, or f(x)
-values would be: divided by 4, increased by 4, decreased by 4, multiplied by 4
A point in the table for the transformed function would be : (1, 52), (2,23), (4,87), (3,29)

Select the correct answer from each dropdown menu The function f is given by the table of values as shown below Drop down box options The parent function of the class=

Respuesta :

The above Exponential function has the parent function to be F(x).

  • The value will decreased by 4.
  • A point in the table for the transformed function would be : (1, 52),

What is the transformation about?

The difference between successive terms  is: 6, 18, 54, 162. These are known to be in the powers of 2 and therefore one can say that there is an exponential increase in the parent function.

The new function is said to g(x). Translating down by 4 means that the new y-values are 4 units lower and so the answer is that the f(x)/y-values will be decreased by 4.

Therefore, looking at the above, since g(x)=f(x)-4 one need to know the value of x, the new y-value is lower by 4 from the old one. This is the case only for  (1, 52) since the old function is (1, 13).

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