Question

(60 points)

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.

Answer 1

Answer:

Translate up units and shade inside the V

Explanation:

we know that

The function has the vertex at point

The function has the vertex at point

so

the rule of the translation is

That means

The translation is units up

The solution of the inequality

is the shaded area inside the V

see the attached figure to better understand the problem

therefore

the answer is

B -Translate y= IxI up 4 units and shade inside the V

Answer 2

The plus 4 is added after the X, so this would shift the graph 4 units up .

The greater than means the answer would be inside the V shape.

The answer would be: Translate y = |x| up 4 units and shade inside the V.