Question

PLEASE HELP! ITS URGENT!

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

k = ______

Numerical Answers Expected!

Answer 1

Adding some constant k to a function f(x) has the effect of shifting the graph of the function up by k units. To find what k is, we can pick one point on f(x) and see how far up it's been shifted on the graph of g(x). Looking at the point (0, 2) on f(x), we notice that the point at the same x-coordinate on g(x) is (0, 5) - it's been shifted up 3 units (since the distance between 2 and 5 is 5 - 2 = 3), so we can say that g(x) = f(x) + 3, making k = 3.

Answer 2

Notice how blue f(x) crosses the y axis (the vertical axis) at 2. The red graph g(x) crosses the y axis at 5. This is a difference of 5-2 = 3. So the value of k must be 3

This means g(x) = f(x) + 3

This k value 3 shifts all of f(x) up 3 units. You can think of it as moving every point on f up 3 units.