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 =
1 answer:
Answer:
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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