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Pie
3 years ago
5

Describe how the graph of y = |x - 2| - 5 is a transformation of the graph of y = |x|. Use terms such as "shifted", "reflected",

"stretched", or "compressed".
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

The original graph was shifted 2 units to the left and 5 units down.

Step-by-step explanation:

y = |x|

From this, we go to: y = |x - 2|.

When we want to shift a function f(x) a units to the left, we find f(x - a). So first, the graph was shifted 2 units to the left.

y = |x - 2|.

From this, we go to: y = |x - 2| - 5.

Shifting a function f(x) down b units is the same as finding f(x) - b, so the second transformation was shifting the graph 5 units down.

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Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A
12345 [234]

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} where (x_{1},y_{1}) and (x_{2}, y_{2}) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

x_{1}=-4

y_{1}=-13

x_{2}=-4

y_{2}=3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

\sqrt{(-4--4)^2+(3--13)^2}

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\sqrt{(-4+4)^2+(3+13)^2}

now add the values inside the parenthesis that are under the radical

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raise everything under the radical to the second power

\sqrt{0+256}

add under the radical

\sqrt{256}

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8 0
3 years ago
Please answer quickly for me
Tasya [4]

Answer:

f(x)⁻¹ = x³ + 2

Step-by-step explanation:

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Then make x the subject of the formula

y³ =  [∛(x - 2)]³

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Replacing y with x we have.

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Another way to know this is equivalent fractions:

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