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LenKa [72]
2 years ago
5

9. Find the value of x so that f(x) is parallel to g(x).

Geography
1 answer:
lawyer [7]2 years ago
4 0

Answer:

Oil.r

2.0 + 26

9

O 20

O 19.25

Oil

O 13.5

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On a coordinate plane, 2 exponential functions are shown. f (x) = 5 Superscript x Baseline approaches y = 0 in quadrant 2 and in
kiruha [24]

Answer:

k = -7

Explanation:

Given

f(x) = 5^x through (0,1) and (1,5)

g(x) = 5^x + k through (0,-6) and (1,-2)

Required

Determine the value of k if f(x) is translated vertically down

To get the value of k, we perform the following operations.

For (0,-6) --- Substitute 0 for x and -6 for g(x) in g(x) = 5^x + k

g(x) = 5^x + k

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-6 = 1 + k

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For (1,-2) --- Substitute 1 for x and -2 for g(x) in g(x) = 5^x + k

g(x) = 5^x + k

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-2 = 5 + k

k+5 = -2

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f(x) = 5^x

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g(x) = f(x) - 7

Recall that: g(x) = 5^x + k and f(x) = 5^x

So, we have:

5^x + k = 5^x - 7

Subtract 5^x from both sides

5^x - 5^x + k = 5^x - 5^x + 7

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