Which function describes this graph? A. y = (x-2)(x-6) B. y = x^2 +8x +12 C. y= (x-4)(x-4) D. y= x^2 -2x +6

Mathematics

1 answer:

adell [148]3 years ago

8 0

We need to see the graph in order to answer

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If the exponential parent function,

laila [671]

Answer: $f(x) =3^{-x}-4$

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is translated up "k" units.

If $f(x)-k$ , the function is translated down "k" units.

If $-f(x)$ , the function is reflected across the x-axis.

If $f(-x)$ , the function is reflected across the y-axis.

Therefore, knowing those transformations and given the exponential parent function:

$f(x) = 3^x$

If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:

$f(x) =3^{-x}-4$

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To answer this question we will have to understand the nature of $\sqrt{8}$ .

$\sqrt{8}$ can be rewritten as: $\sqrt{2\times 2\times 2} =2\sqrt{2}$ . Now, $\sqrt{2}$ is an irrational number and thus any of the four operations of addition, multiplication, subtraction or division placed anywhere between any of these terms will always result in an irrational number.