- Consider the function f(x)=10^x
and function g.
g(x)= f(x+4)
How will the graph of function g differ from the graph of function f?
A. The graph of function g is the graph of function f shifted 4 units to the right.
B. The graph of function g is the graph of function f shifted 4 units down.
C. The graph of function g is the graph of function f shifted 4 units up.
D. The graph of function g is the graph of function f shifted 4 units to the left.

D. The graph of function is the graph of function shifted 4 units to the left.

Step-by-step explanation:

the function is composite function between and , then you can re-write as:

The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.

In the image you can see what's mean sum a constant in the of a function.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

i would need to see the dot plot : )