Simplify: 3a + 2b - 8a + b
2 answers:
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Answer:
C. 7
Step-by-step explanation:
We have been given graphs of two exponential functions, f and g.
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:
= Graph shifted to right by a units.
= Graph shifted to left by a units.
Vertical shifting:
= Graph shifted upwards by a units.
= 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.
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.