Question

The graphs of two exponential functions, f and g, are shown on the coordinate plane below.

Answer 1

Answer:

option c

Step-by-step explanation:

Answer 2

Answer:

C. 7

Step-by-step explanation:

We have been given graphs of two exponential functions, f and g.

$g(x)=f(x)+k$

We can see that our parent function f(x) is translated k units to get function g(x).

The rules for translation are mentioned below.

Horizontal shifting:

$f(x-a)$= Graph shifted to right by a units.

$f(x+a)$= Graph shifted to left by a units.

Vertical shifting:

$f(x)+a$= Graph shifted upwards by a units.

$f(x)-a$= Graph shifted downwards by a units.

Upon comparing our given graph with transformation rules we can see that our function f(x) is translated k units upward to get function g(x).

Now let us find the value of k from our given graph.

We can see that initial value (y-intercept) of f(x) is -4 and initial value of g(x) is 3. Difference between y-intercepts of both functions is 7.

$\text{Difference between y-intercepts}= 3--4=3+4=7$

Our parent function f(x) is shifted 7 units upwards to get new function g(x), therefore the value of k is 7 and option C is the correct choice.