If 3a = cosec x and 3/a = cot x, find the value of 3(a2 - 1/a2)

1 answer:

3 0

$\csc(x) = \frac{r}{y} = \frac{3a}{1} \\ \cot(x) = \frac{x}{y} = \frac{3}{a} \\ y = a = 1 \\ \\ 3( {a}^{2} - \frac{1}{{a}^{2} } ) \\ 3( {1}^{2} - \frac{1}{ {1}^{2} } ) \\ = 0$

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The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^

Leokris [45]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.
Multiplying by a negative flips the graph.

The graph of $(-2^{x+17}) -4.3$ compares to $2^x$ in the following ways: