Answer:
Horizontal shift:
For the parent function f(x) and a constant h, the function given by g(x) = f(x-h) can be sketched by shifting f(x) h units horizontally.
The values of h determines the direction of shifts:
If :
- h>0, the parent graph shifts h units to the right
- h < 0, the parent graph shifts h units to the left.
Vertical shifts:
For the parent function f(x) and a constant k, the function given by g(x) =f(x) +k can be sketched by shifting f(x) k units vertically.
The value of k determines the direction of shifts;
if:
-
k > 0, the parent graph shifts k units upward, and
- k < 0, the parent graph shifts k units downward.
Therefore, the values of h and k in y=|x-h|+k affect the graph of y=|x| tells us how far the graph shifts horizontally and vertically.
Answer:
The volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Step-by-step explanation:
It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.
Radius of ball = Radius of can = 
Height of can = 
The volume of sphere is

where, r is radius of sphere.
The volume of a tennis balls is



Volume of three tennis balls is

The volume of cylinder is

The volume of can is



The volume of the area not occupied by the tennis balls is
Volume = Volume of cylinder - Volume of three tennis balls
= 36.82 - 24.54 = 12.28 inches
Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Answer:
hope this helps, (x+2) (x+8)
Step-by-step explanation:
factor x^2 + 10x+16 using the AC Method
Answer:
The product is the difference of squares is 
Step-by-step explanation:
Explanation
- The given expression is (x y-9)(x y+9).
- We have to multiply the given expression.
- Square the first term xy. Square the last term 9 .
