Answer:
Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.
Step-by-step explanation:
We are asked to describe the transformation of function 
as compared to the graph of 
.
We can write our transformed function as:
Now let us compare our transformed function with parent function.
Let us see rules of transformation.
,
,
Scaling of a function: 
If a>1 , so function is stretched vertically.
If 0<a<1 , so function is compressed vertically.
As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.
As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.
Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.
Answer:
Step-by-step explanation:
Alright, lets get started.
Lets split the given graph in three parts.
First part: 0 to 30 minutes
We can see between this period, 0 to 30 minutes, the distance from home keeps increasing. It means from 0 to 30 minutes, Eli is moving towards the library.
Second part: 30 to 120 minutes
between 30 to 120 minutes,the distance from home does not changes. It means during this period, Eli is at the library.
Third part : 120 minutes to 135 minutes
Between 120 to 135 minutes, the distance from home is decreasing.
It means Eli is returning home in that period.
It means, at 120minute, Eli started her bicycle , home from the library. Hence option (b) : Answer
Hope it will help :)
Answer:
C. y + 3 = ¼(x + 4)
Step-by-step explanation:
✔️Find the slope of the given line:
Slope = ∆y/∆x = -(4/1) = -4
The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.
Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.
m = ¼.
Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)
Thus:
y - (-3) = ¼(x - (-4))
y + 3 = ¼(x + 4)
