Answer:
g(x) = x^3 + 4
Step-by-step explanation:
Not much to explain -- g(x) is larger than f(x) by four units for every x.
Of course, to shift the graph down, subtract 4 units.
To get an even deeper understanding, think of how you'd do a left or a right shift of the graph.
Here are the answers, but I'm not going to tell you which is a left shift, and which is a right shift:
g(x) = (x - 4)^3
g(x) = (x + 4)^3
If you can't do it in your head, try plotting a couple of points - don't guess.
Let F(x) = x^2 + 2x -8
Adding 1 and - 1 at equation
F(x) = x^2 + 2x + 1 - 1 -8
Rewrinting the first 1 = 1^2
F(x) = x^2 + 2x + 1^2 - 1 - 8
Now look:
x^2 + 2x + 1^2 = ( x + 1)^2
Then,
F(x) = (x + 1)^2 -1 -8
F(x) = (x + 1)^2 -9
This is the answer !
If us to want.
(x + 1)^2 -9 = ( x+1)^2 - 3^2
= ( x+ 1 -3).(x +1 +3)
= ( x - 2).(x +4)
Between 3 and 4 cups.
Let’s find 87% of 4.
(4)(0.87)= 3.48
So in 4 cups of milk, there is 3.48 cups of water, which is between 3 and 4 cups.
Alternate interior= 2 and 6
Consecutive int.= 7 and 6
Corresponding = 1 and 3
Alternate ext.= 1 and 5
Vertical= 1 and 7
#41 = measuere 6 and 11 add up to 180, subtract 180 from 50 and you get 130
