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 
Answer:
1. r=17
2. (-15,14) or (-15,-16)
Step-by-step explanation:
The radius of the circle is the distance from the center to the point on the circle, thus
The equation of the circle is
If point lies on this circle, then its coordinates satisfy the circle's equation:
Answer:
x/10 = -9
Step-by-step explanation:
You are given the equation: x = -90
You are asked to divide 10 from both sides. Simplify:
(x)/10 = (-90)/10
x/10 = -90/10
x/10 = -9
x/10 = -9 is your answer.
~
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
Answer:
Step-by-step explanation:
Equation of the line has been given as,
By comparing this equation with the y-intercept form of the equation,
y = mx + b
Slope of the line 'm' = 
and y-intercept 'b' = -5
Table for the points to be plotted on a graph will be,
x y
-4 -11
-2 -6
0 -5
2 -4
4 -3
By plotting y-intercept (0, -5) and any one of the points given in the table we can get the required line.
