The last image is the graph of 
In fact, it is an increasing exponential function, and it passes through the points
, which reflects the fact that
and
, which reflects the fact that
.
Now,
is a child of the parent function we just described. Precisely, it is the result of the transformation 
In general, every time you perform a transformation like
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Answer:
Approximately, the small pool will cost $16
Step-by-step explanation:
Answer:
V_rocket = 44
ft^3 = 138.2 ft^3
Step-by-step explanation:
Volume of cone
V_cone = (1/3)*(
*(radius^2))*h
radius = 2ft
h = height of the cone = 3 ft
pi = 3.1416
V_cone = 4
ft^3
Volume cylinder
V_cylin = (
*(radius^2))*h_cyl
h_cyl = height of the cylinder = 10 ft
V_cylin = 40
ft^3
Volume rocket
V_rocket = V_cone + V_cylin = 4
ft^3 + 40
ft^3
V_rocket = 44
ft^3 = 138.2 ft^3
Answer:
A. 42.71
Step-by-step explanation:
268.26 - 12.00 = 256.26
256.26/6=42.71
You form a rhombus.
Draw an equilateral triangle, and then mirror it around its base. All the sides are clearly equal, because they are all sides of the same equilateral triangle.
Moreover, the top and bottom angle are 60°, because they are angles of an equilateral triangle, while the left and right angles are 120, because they're 60+60 angles.