The graphs of two exponential functions, f and g, are shown on the coordinate plane below.
2 answers:
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.
You might be interested in
9514 1404 393
Answer:
x = 102
Step-by-step explanation:
Isosceles triangles have equal angles opposite equal sides. There are two 39° angles in this triangle (opposite the 3.3 sides), so the third one is ...
x° = 180° -2(39°)
x° = 102°
_____
<em>Additional comment</em>
The triangle is "overspecified", meaning more measures are provided than are necessary to completely describe the triangle. As is often the case in such situations, the measures provided are sufficiently inconsistent that two different "right" answers are possible, depending on how you work the problem. The first attachment shows the solution above.
The second attachment shows the solution you might get by using the Law of Cosines. Note that x=101 in this case.
