Carlos plotted the points (-4,-4) and (0, 3) and connected them with a line, as shown below.
1 answer:
Answer:
The slope between the two points is 7/4
Step-by-step explanation:
<u>Slope of a Line</u>
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The points plotted by Carlos are (-4,-4) and (0,3), thus the slope is:
The slope between the two points is 7/4
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We have been given a graph of function g(x) which is a transformation of the function
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
Answer:
7 & 8
Step-by-step explanation:
= 7.7459666924148337703585307995648
Therefore, it lies between the whole numbers 7 & 8.
Hope this helps :)