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3 years ago

f(x) = |x| and g(x) = |x| + 3 The translation applied to get the graph of g(x) from the graph of f(x) is .

Mathematics

2 answers:

babunello [35]3 years ago

6 0

Answer: Vertical translation of 3 units.

Step-by-step explanation:

Since when a function translated k units vertically then , then the new function becomes H(x)=h(x)+k.

We are given that f(x) = |x| and g(x) = |x| + 3 .

That means the graph of f(x) is translated by 3 units vertically .

Hence, the translation applied to get the graph of g(x) from the graph of f(x) is "Vertical translation of 3 units."

Furthermore it can be seen by the graph below.

murzikaleks [220]3 years ago

4 0

Answer:

a vertical translation of 3 units upward

Step-by-step explanation:

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2 years ago

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2 years ago

Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of

fomenos

Answer:

The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is <u>169</u>

Step-by-step explanation:

Given : the difference of the squares of the numbers is 5 and the product of the numbers is 6.

We have to find the sum of the squares of two numbers whose difference and product is given using given identity,

$(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2$

Since, given the difference of the squares of the numbers is 5 that is $(x^2-y^2)^2=5$

And the product of the numbers is 6 that is $xy=6$

Using identity, we have,

$(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2$

Substitute, we have,

$(x^2+y^2)^2=(5)^2+(2(6))^2$

Simplify, we have,

$(x^2+y^2)^2=25+144$

$(x^2+y^2)^2=169$

Thus, the sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is 169

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2 years ago

Read 2 more answers