Answer:
C) Horizontal compression
Step-by-step explanation:
Since, if y = f(x) is a function,
Then y = a f(x) gives a vertical stretch if a > 1 and gives a vertical compression if 0 < a < 1.
Also, y = f(bx) gives a horizontal stretch when 0 < b < 1 and gives a horizontal compression if b > 1.
Here,
The given parent function is,
f(x) = 2x
And, 3 > 1
Thus, by the above statements,
f(3x) will give a horizontal compression.
Hence, Option C is correct.
Y = (-3/7)x + 4
Looking at the graph, you can see the trend line plotted. And conveniently, there are a couple of points on the trend line that are indicated. Those points being (0,4) and (7,1). The equation of a line in slope intercept form is:y = ax+b
Looking at the points available, the point (0,4) already gives us the y intercept since x is equal to 0. So our equation becomes:
y = ax + 4
Now we need to determine a which is the slope. The slope is the change in y divided by the change in x. So let's do that
(1-4)/(7-0) = -3/7
And now our equation becomes:
y = (-3/7)x + 4
And given formatting issues, the first option available is the correct one.
You need to find the area of this
