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alisha [4.7K]
3 years ago
12

Function g can be thought of as a translated (shifted) version of f(x)=x^2.

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:

g(x) = x² - 3

Step-by-step explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).

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The amount of water decreases in 7 weeks = 9\frac{5}{8} pints

The amount of water decreases each week is same.

Let us first change the mixed fraction into improper fraction.

9\frac{5}{8} pints = \frac{(9\times8)+5}{8}

             =\frac{77}{8} pints

The amount of water decreases in 1 week

              $=\frac{\frac{77}{8} }{7}

              =\frac{77}{8\times7}

              =\frac{11}{8}

So, the amount of water decreases in 1 week is \frac{11}{8} pints.

The amount of water decreases in 12 week

               =\frac{11}{8}\times12

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