3.) f(x)=-2(x+1)^2+3
Domain: (- infinity, infinity)
Range:(-infinity,3]
Vertex: (-1,3)
Axis of symmetry: x=-1
Opens downward
4.) f(x)=9(x-2)^2-3
D:(-infinity, infinity)
R: [-3,infinity)
Vertex: (2,-3)
Axis: x=2
Opens upward
6.)
D:(-infinity, infinity)
R:(-infinity,0]
Vertex: (5,0)
Axis: x=5
Opens downward
A
it leaves a number out, resorting it to not be a function.
Answer:
-x² + 5x
Step-by-step explanation:
Distribute -x to all terms within the parenthesis. Note that when multiplying a negative variable and a positive variable, the result is a negative variable. Also note that when multiplying a negative variable with a negative number, the result is a positive.
(-x)(x) = -x²
(-x)(-5) = 5x
-x² + 5x is your answer.
~
Let x represent the length in feet of the area along the barn wall. Then the width of the area (out from the wall) will be 450/x, and the total cost of fence will be
cost = 5*(x +2*450/x)
A graphing calculator shows the minimum of the cost function is where x=30.
In order to minimize the cost of fencing, the fourth side should be 30 ft long.
Answer:
Step-by-step explanation:
(a)
perfect positive correlation.
As x increases by 1, y increases by 1
y is 1 times x
equation: y = x
(b)
perfect negative correlation.
As x increases by 1, y decreases by -4
y is
times x
equation: y = -4x