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2 years ago

Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.

Mathematics

2 answers:

miss Akunina [59]2 years ago

8 0

The correct answers are:

1. f (x) is translated 4 units down.

2. f (x) is vertically stretched by a factor of 4.

I took the quiz and these were the right answers. Hope I helped! <3

givi [52]2 years ago

8 0

Answer:

$f(x)-4\rightarrow$ f(x) is translated 4 units down

$4f(x)\rightarrow$ f(x) is vertically stretched by a factor of 4

Step-by-step explanation:

We are given that a function f(x).

We have to match the given transformation with its correct descriptions.

We know that

When a function is translated 4 units up by the rule of transformation

is given by

$f(x)\rightarrow f(x)+4$

When a function is translated 4 units left by the rule of transformation

is given by

$f(x)\rightarrow f(x+4)$

When a function is vertically stretched by a factor of 4 then it is transformed by the rule is given by

$f(x)\rightarrow 4f(x)$

When a function is translated 4 units right by the rule of transformation

is given by

$f(x)\rightarrow f(x-4)$

When a function is translated 4 units down by the rule of transformation

is given by

$f(x)\rightarrow f(x)-4$

When a function is vertically compressed by a factor of 4 then it is transformed by the rule is given by

$f(x)\rightarrow \frac{1}{4}f(x)$

Therefore, $f(x)-4\rightarrow$ f(x) is translated 4 units down

$4f(x)\rightarrow$ f(x) is vertically stretched by a factor of 4

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Ishrat

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2 years ago

Read 2 more answers

Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples t

nikitadnepr [17]

Answer:

<h2>Cubing both sides of an equation is reversible.</h2>

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

$\sqrt[3]{x} =-1$

We cube both sides

$(\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1$

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

$\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1$

There you have it, cubing both sides of an equation is reversible.

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1 year ago

A set of notations (SSS, SAS, ASA and RHS) is used to describe/prove that two triangles are conjurent. For each pair of triangle

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Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.

b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.

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2 years ago

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Answer:

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2 years ago

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils

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Hope this helps

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2 years ago