Question

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 =​

Answer 1

• k = -5

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

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

• 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