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The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2^x
. x 0 1 2 3 4
g(x) -11 -10 -8 -4 4 .
Determine the size of the shift from function fto function g. Then, plot the points of a function that is shifted only half as much as gfrom the parent function, f. Use the same x-values as used in the table for function g.​

The Table Below Represents An Exponential Function G That Has Been Vertically Shifted From The Parent Function Fx 2x X 0 1 2 3 4 Gx 11 10 8 4 4 Determine The Si class=

Sagot :

semsee45

Answer:

Inputting the values of x into f(x):

[tex]f(0)=2^0=1\\\\f(1)=2^1=2\\\\f(2)=2^2=4\\\\f(3)=2^3=8\\\\f(4)=2^4=16[/tex]

Comparing y-values of both functions:

f(x):  1, 2, 4, 8 , 16

g(x):  -11, -10, -8, -4, 4

The difference between corresponding y-values of g(x) and f(x) is -12

Therefore, g(x) = f(x) - 12

If a new function h(x) is shifted by half as much, then h(x) = f(x) - 6

[tex]h(0)=2^0-6=-5\\\\h(1)=2^1-6=-4\\\\h(2)=2^2-6=-2\\\\h(3)=2^3-6=2\\\\h(4)=2^4-6=10[/tex]

View image semsee45

Answer:

Comparing y-values of both functions:

f(x):  1, 2, 4, 8 , 16

g(x):  -11, -10, -8, -4, 4

The difference between corresponding y-values of g(x) and f(x) is -12

Therefore, g(x) = f(x) - 12

Step-by-step explanation:

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