The answer is in the image. We need 3.625 gallons to fill the tank.
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:
You can use the distance formula:
d=sqroot(x2-x1)squared + (y2-y1)squared.
Plug in values: d=sqroot(8-(-6))squared + (2-2)squared
Simplify: d=sqroot(196)+0
Simplify:d=sqroot(196
Square Root: d=14 units
Answer:
(1, 3)
Step-by-step explanation:
The first endpoint (the one on the left) is (-3, 2). The second endpoint (the one on the right) is (5, 4). To find the midpoint, find the middle of both x and y. To do that, add the values of x and y respectively and divide by 2:
for x-value of midpoint:
(x-value of first endpoint + x-value of second endpoint) / 2
= (-3 + 5) / 2
= 2 / 2
= 1
for y-value of midpoint
(y-value of first endpoint + y-value of second endpoint) / 2
= (2 + 4) / 2
= 6 / 2
= 3
