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Which of the following describes graphing y ≥ |x| + 4?


Translate y = |x| down 4 units and shade inside the V.

Translate y = |x| up 4 units and shade inside the V.

Translate y = |x| left 4 units and shade inside the V.

Translate y = |x| right 4 units and shade inside the V.

Verified Answer :

calculista

Answer:

Translate  \(y=\left|x\right|\) up \(4\) units and shade inside the V

Step-by-step explanation:

we know that

The function \(y=\left|x\right|\) has the vertex at point \((0,0)\)

The function \(y=\left|x\right|+4\) has the vertex at point \((0,4)\)

so

the rule of the translation is

\((x,y)------> (x,y+4)\)

That means

The translation is \(4\) units up

The solution of the inequality  \(y\geq\left|x\right|+4\)

is the shaded area inside the V

see the attached figure to better understand the problem

therefore

the answer is

Translate  \(y=\left|x\right|\) up \(4\) units and shade inside the V

View image calculista

Answer:

Option 2 - Translate y = |x| up 4 units and shade inside the V.

Step-by-step explanation:

Given : Function \(y\geq |x|+4\)

To find : Which of the following describes graphing ?

Solution :

The parent function is \(y=|x|\)

Shift the function 'b' unit up f(x)→f(x)+b

We have given function is increases by 4 unit.

Which means it translated 4 units up.

As y is greater than equal to so it shade inside the V.

Refer the attached figure below.

Translate y = |x| up 4 units and shade inside the V.

Therefore, Option 2 is correct.

View image pinquancaro

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