Answer:2
Step-by-step explanation:
Answer:
<em>The value of k is 7</em>
Step-by-step explanation:
The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:
g(x) = f(x) +k
To know the value of k, we select a value for x and calculate the value of k.
For example, for x=0, f(0)=-6, g(0)=1, and:
g(0) = f(0) +k
1 = -6 +k
k = 7
We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:
g(-5) = f(-5) +k
7 = 0 +k
k = 7
The value of k is 7
It shouldn't be too tough to find one of those, seeing that there are
an infinite number of them.
To create one, take any integer, positive or negative, and multiply it by itself.
Here are a few to put you in the mood:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, ...
784, 841, 900, 1024, 1225, 1600, 2500, 3600, 4900, 10000, 1 million, ...