Answer:
(A)
Step-by-step explanation:
The graph of any function (of 
) can be shifted horizontally by a number 
by replacing every in the function with 
. And, if we want to shift the graph vertically, we simply add the number we want to shift by (which I'll call 
) to every output of the function.
Functionally, if we have any function 
We can shift it horizontally by units and vertically by units by creating a function 
.
Notice that in this case, 
. So the graph of is shifted 2 units to the left, and 4 units down.
Or if this is too abstract of an explanation, then notice
![\sqrt[3]{x + 2} - 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%20-%204)
looks similar to ![\sqrt[3]{x - h} - k](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20-%20h%7D%20%20-%20k)
. Specifically, if h = -2 and k = -4 (the graph is shifted two units left and 4 units down), then the function becomes equivalent to 
<span>(5h^3 − 8h) + (−2h^3 − h^2 − 2h)
= 5h^3 - 8h - 2h^3 - h^2 - 2h
= 3h^3 - h^2 - 10h</span>
Answer:
see below
Step-by-step explanation: 5 23 15 03
f(x) = g(x) + 4 find g(x) for f(x) = 3x + 2
sub f(x) = 3x + 2 into f(x) = g(x) +4
3x + 2 = g(x) + 4
3x + 2 - 4 = g(x) + 4 - 4
3x - 2 = g(x)
Answer:
We need to find a relationship between the equations.
Let's solve for one variable.
2x + 2y = 15
2y = 15 - 2x
We know what 2y is in relation to x. Now we can solve.
2x + 15-2x = 15
15 = 15
Unless there are more equations, this is your answer. For it to be simultaneous you need more than one equation.
Well, we just need to perform the operations:
- Multiplication:
- Subtraction:
- Addition:
- Division:
So, if you add all the numbers together you get
Or, if you prefer,
