use the drawing tool(s) to form the correct answer on the provided graph. the table below represents an…

use the drawing tool(s) to form the correct answer on the provided graph. the table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2^x.\n| x | 0 | 1 | 2 | 3 | 4 |\n| g(x) | -11 | -10 | -8 | -4 | 4 |\ndetermine the size of the shift from function f to function g. then, plot the points of a function that is shifted only half as much as g from the parent function, f. use the same x - values as used in the table for function g.

use the drawing tool(s) to form the correct answer on the provided graph. the table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2^x.\n| x | 0 | 1 | 2 | 3 | 4 |\n| g(x) | -11 | -10 | -8 | -4 | 4 |\ndetermine the size of the shift from function f to function g. then, plot the points of a function that is shifted only half as much as g from the parent function, f. use the same x - values as used in the table for function g.

Answer

Explanation:

Step1: Find the value of parent - function at x = 0

The parent function is (f(x)=2^{x}). When (x = 0), (f(0)=2^{0}=1).

Step2: Determine the vertical - shift of function g

The value of (g(0)=- 11). The vertical shift (k) from (f(x)) to (g(x)) is found by (g(0)-f(0)). So (k=-11 - 1=-12).

Step3: Find the vertical - shift of the new function

The new function is shifted half as much as (g) from the parent function. So the new vertical shift (k_{new}=\frac{-12}{2}=-6).

Step4: Find the values of the new function for given x - values

The new function (h(x)=2^{x}-6). When (x = 0), (h(0)=2^{0}-6=1 - 6=-5). When (x = 1), (h(1)=2^{1}-6=2 - 6=-4). When (x = 2), (h(2)=2^{2}-6=4 - 6=-2). When (x = 3), (h(3)=2^{3}-6=8 - 6=2). When (x = 4), (h(4)=2^{4}-6=16 - 6 = 10).

The points to plot are ((0,-5)), ((1,-4)), ((2,-2)), ((3,2)), ((4,10))

Answer:

The points to plot are ((0,-5)), ((1,-4)), ((2,-2)), ((3,2)), ((4,10))