Question

Select the correct answer from each drop-down menu.
Consider the graph of the parent exponential function fand transformed function g.
X
f
g
-5 -4
3 4 5
-1-
-2-
-3-
-4-
-5-
To produce g function fwas reflected over the x-axis and
-3 -2
5
4
3-
2-
10
2
Reset
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Function g can be defined as

Answer 1

To produce function g, f was reflected over the x-axis and translated 5 units upwards. Function g can be defined as g(x) = -f(x) + 5.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

It can be observed from the given graph that the parent function f and the modified function g, then the function f(x) is reflected over the x-axis is translated 5 units upwards. Therefore, the function g(x) in the form of f(x) can be written as,

g(x) = -f(x) + 5

Hence, To produce function g, f was reflected over the x-axis and translated 5 units upwards. Function g can be defined as g(x) = -f(x) + 5.

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