Answer:
Function 
is shifted 1 unit left and 1 unit up.
Transformed function 
Step-by-step explanation:
Given:
Red graph (Parent function):
Blue graph (Transformed function)
From the graph we can see that the red graph is shifted 1 units left and 1 units up.
Translation Rules:
If 
the function shifts 
units to the left.
If 
the function shifts units to the right.
If the function shifts units to the up.
If the function shifts units to the down.
Applying the rules to
The transformation statement is thus given by:
As function is shifted 1 unit left and 1 unit up.
Transformed function is given by:
Answer:
D. 6
Step-by-step explanation:
Range of any data set is the difference between the maximum value and the minimum value.
From the graph given above, the least data value plotted on the graph is 1.
Minimum value = 1
The maximum data value = 7
The range of the data set = max - min
Range = 7 - 1
Range = 6
Answer:
Area of a triangle is base times height divided by 2. The formula for finding the area of a parallelogram is easiest to just break it down into two triangles and 1 square/rectangle. Then just find the area of all then add them together to get the final area.
Mrs. Smith donated $20
The constant proportionality is $1 because no matter what, Mrs. smith will donate $1 for each mile. So if Sam were to only walk 1 mile, mrs. smith would donate $1. Or seen as a 1:1 proportion.
Answer:
(a) 
(b) 
(c) Jim initially had 48; Kirk initially had 12
Step-by-step explanation:
Given
Solving (a): An equation for the amount they originally had.
From the question, we understand that j is 4 times as many as k.
Mathematically, this is:
Solving (b): Equation after Kirk wins
Initially Kirk had k.
To get the new expression, we add 18 to k.
This gives: 18 + k
In the same vein, Jim's number of chirps will reduce by 18.
Initially, Jim had j chirps (or 4k chirps)
To get the new expression, we subtract 18 from j.
This gives: j - 18
So, the equation is:
Solving (c): Number of chirps they started with.
In (b), we have:
Substitute 4k for j
Collect Like Terms
Divide both sides by 3
Substitute 12 for k in
