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 negative 4, 0 and negative 2, 2. Line g of x passes through points negative 10, 0 and negative 8, 2.

6
−3
−6
3

Answer 1

6

Explanation:

f(-4) = g(-10) = f(-10+k)

f(-2) = g(-8) = f(-8+k)

-4 = -10+k

k = -4+10

k = 6

Answer 2

If the line f passes through (-4,0) and (-2,2) it means:

f(-4)=0 and f(-2)=2

If the line g passes through (-10,0) and (-8,2) it means:

g(-10)=0 and g(-8)=2

We can see that

g(-10)=0=f(-4)

g(-10)=0=f(-10+6)

Also,

g(-8)=2=f(-2)

g(-8)=2=f(-8+6)

Therefore, k=6