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Masteriza [31]
2 years ago
6

Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O

2 2 f k =​
Mathematics
1 answer:
Keith_Richards [23]2 years ago
4 0

Answer:

  • k = -5

Step-by-step explanation:

We can see the lines are parallel

The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)

If f(x) = mx + 2, then g(x) = mx - 3

<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>

  • g(x) = f(x) + k
  • k = g(x) - f(x)
  • k = (mx - 3) - (mx + 2)
  • k = -3 - 2
  • k =  -5

So the answer is k = -5

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