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g(x) = √(x - 16)

The graph of g(x) = √(x - 16) has the same shape as the graph of f(x) = √x. However, it is shifted horizontally to the right 16 units. The graph of the function f(x)=square root(x) is made up of half a parabola (in the first quadrant) with directrix (16, 0), which opens rightward. The domain is [16,∞) and range [0, ∞).

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Q: What is the graph of x radical x-16?
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How do you describe how to translate the graph y equals radical x to obtain the graph of each function?

You can move it up or down by adding a constant, call it c. Let c>0 Y=radical(x)+c move it up c and y= radical(x)-c moves it down c. You can move it to the right by subtracting c inside the radical sign. Let c>0 y=radical (x-c) moves it to the right c units. y=radical (x+c) moves it to the left c units.


What graph can be obtained by rotating the graph of x2 90 degrees clockwise around the origin and then removing the part of the graph below the x axis?

Rotating the graph y = x² clockwise 90° about the origin gives the graph of: y² = x → y = ±√x Removing the negative part leaves: y = √x (Note: it is convention that the radical symbol (√) means the positive square root.)


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144 (which is 16 x 9) No other multiples of 16 are divisilbe by 9: 1 x16 = 16 2 x16 = 32 3 x16 = 48 4 x16 = 64 5 x16 = 80 6 x16 = 96 7 x16 = 112 8 x16 = 128 9 x16 = 144 The lowest one of these which is divisible by 9 is the last one Your answer is 144!!


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