Question

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and 9,0

Answer 1

Explanation:

To find the value of k, we must look at the points of both equations.

From the graph given, we can see

f(0) = 4

g(0) = 0

We can also see that the equation for g of x is g(x) = f(x + k).

Therefore, since we know that f(0) = 4, then g(0) = f(0 + k).

Substituting the known values, we get: 0 = 4 + k

Solving for k, we have k = -4.