The graph shown here is the graph of which of the following rational

If the parent function is \root(3)(x), describe the translation of the function y=\root(3)(x+4)-3

xeze [42]

The parent function moves 4 units right and 3 units down. This is a translation by the vector.

According to the question,

Transformation $\sqrt[3]{x}$ maps onto $\sqrt[3]{x+4} -3$ . Take f(x) = $\sqrt[3]{x}$ and f(x+4)= $\sqrt[3]{x+4}$ .

f(x) = $\sqrt[3]{x}$

f(x+4)= $\sqrt[3]{x+4}$

f(x+4) - 3= $\sqrt[3]{x+4}$ - 3

Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.

Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.

Learn more about parent function here

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7 0

2 years ago

Do supplementary angles form right angles? yes or no

Anuta_ua [19.1K]

Answer:

Yes i

Step-by-step explanation:

A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.

6 0

3 years ago

A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 3 stocks?

Gala2k [10]

Answer:

There are 27 different possible outcomes.

Step-by-step explanation:

Assuming that you have 3 different stocks:

First, we need to find the number of events and the number of possible outcomes for each event.

Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:

Stock 1: 3 options (up, down, stay)

Stock 2: 3 options (up, down, stay)

Stock 3: 3 options (up, down, stay)

The total number of possible outcomes is equal to the product of the numbers of options for all the events.

Then the total number of possibilities is:

C = 3*3*3 = 27

4 0

3 years ago

Mac hine A pops 12,75 ounces of popcorn in 3 minutes. Machine B pops 18 ounces of popcorn in 4minutes. If each machine pops popc

Nataly [62]

yes. Machine A pops 42.5 ounces of popcorn in 10 minutes. Machine B pops 45 ounces of popcorn in 10 minutes. Add the two to get 87.5 ounces. 8 times 9 is 72 which is less than 87.5 ounces

8 0

3 years ago

What are the ratios for sin A and cos A? The triangle is not drawn to scale.

dalvyx [7]

Answer:

$SinA = \frac{84}{85}$ and $CosA=\frac{13}{85}$

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

$Sin A = \frac{Opposite}{Hypotenuse}$ , and

$CosA = \frac{Adjacent}{Hypotenuse}$

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

$Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}$

$CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}$

The correct answer is the first answer choice.

7 0

3 years ago