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3 years ago

6

What is the transformation that occurs to the equation y=2^x if it changes to y=2^x-3

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

The parent function is: y = 2^x and it it transformed to: y = 2^x - 3. Both are exponential functions. First we can find the value of y, when x = 0. For the 1st function: y = 2^0 = 1 For the 2nd function: y = 2^0 - 3 = 1 - 3 = - 2 We can conclude that the 2nd value of y is 3 units lower than the first. Answer: This transformation is translation 3 units down.

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A ratio can be simplified.

Yuri [45]

Answer:

Yes, a ratio can be simplified.

Step-by-step explanation:

An example of this is 5:10, where it can be simplified down to 1:2.

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3 years ago

Complete the following proof.<br> Given: m ∠XOY = m ∠WOV<br> m YZ = m ZW<br> Prove: m XZ = m ZV

horsena [70]

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

{ If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW ------- (ii) {given}

Add (i) and (ii)

XY + YZ = WV + ZW

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Hence proved.

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kompoz [17]

A number in between is
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A swimming pool is a rectangular prism. The pool is 36 feet long and 20 feet wide. What is the total amount of water, in cubic f

Sliva [168]

Answer:

$2880\ ft^{3}$

Step-by-step explanation:

The computation of the total amount of water needed could be determined by using the volume formula which is shown below:

$Volume = L \times W \times D$

where

L = length,

W = width,

and D = depth.

Now putting the values to the above formula

$Volume = (36\ ft) \times (20\ ft) \times (4\ ft) \\\\= 2880\ ft^{3}$

Therefore, the total amount of water needed is $2880\ ft^{3}$

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4 0

3 years ago

I NEED MEGA HELP WITH THIS QUESTION

katrin2010 [14]

Answer:

C. $y = - \frac{1}{4} x - 2$

Step-by-step explanation:

To find slope using coordinates, use the formula above.

$(4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4}$

Now, using the $y = mx + b$ formula, plug in $- \frac{1}{4}$ as $m$ (slope) and either coordinate as the $x$ and $y$ values. It looks like this:

$- 3 = - \frac{1}{4}(4) + b$

To solve for $b$ , continue to use PEMDAS.

$- 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b$

Now use $m$ and $b$ to solve for your equation:

$y = - \frac{1}{4} x - 2$

The answer is C.

4 0

3 years ago