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Mathematics, 15.01.2021 02:20 joseylynn2728

1:The function h(x) is a translation of the exponential function g(x) = 2(3)x − 4. What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?
Question 5 options:

A)

h(x) = 4(3)x − 7 + 9

B)

h(x) = 4(3)x – 7 + 7

C)

h(x) = 4(3)x − 9 + 7

D)

h(x) = 4(3)x + 7 − 9

2:Describe the transformation of ƒ(x) = ex which is given by g(x) = −e2x + 6.
Question 9 options:

A)

g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).

B)

g(x) is reflected across the x-axis and translated 6 units down compared to ƒ(x).

C)

g(x) is reflected across the y-axis and translated 6 units to the right compared to ƒ(x).

D)

g(x) is reflected across the y-axis and translated 6 units to the left compared to ƒ(x).

3:Given the exponential function g(x)= 1∕2(2)x, evaluate ƒ(1), ƒ(3), and ƒ(6).
Question 10 options:

A)

ƒ(1) = 2, ƒ(3) = 9, ƒ(6) = 64

B)

ƒ(1) = 1, ƒ(3) = 2, ƒ(6) = 8

C)

ƒ(1) = 1, ƒ(3) = 4, ƒ(6) = 32

D)

ƒ(1) = 4, ƒ(3) = 16, ƒ(6) = 128

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