9514 1404 393
Answer:

Step-by-step explanation:
A lot of math is about matching patterns.
For example, ...
g(x) = f(x -h) +k
means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).
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In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).
The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.
f(x) = √x
g(x) = f(x+6) +4
g(x) = √(x+6) +4 . . . . . . matches choice D
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* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for <em>right 6 units</em>, so h=-6 for <em>left 6 units</em>. Then x-h = x-(-6) = x+6.
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<em>Comment on the graph</em>
I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).
A rotation on its axis of 180 degrees
Answer:
x = 3
Step-by-step explanation:
7 + 6x - 4 = 3x - 9 + 7x
6x -3x - 7x = -9 - 7 + 4
-4x = -12
-4x/-4 = -12/-4
x = 3
Answer:
=406 piglets in the warehouse
Step-by-step explanation:
578-126=452
452-46=406
Answer:
55
Step-by-step explanation:
To solve the expression,
substitute n = 500 and simplify according to order of operations.
![\sqrt[3]{\frac{500}{4} } + \frac{500}{10}\\\\\sqrt[3]{125}+50\\ 5+50\\\\55](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B4%7D%20%7D%20%2B%20%5Cfrac%7B500%7D%7B10%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B125%7D%2B50%5C%5C%205%2B50%5C%5C%5C%5C55)