help i don't get these two questions!!

21.What is the range of f(x) = |x + 2| + 3?

Option A: y is less than -2
Option B: y is less than 3
Option C: y is greater than -2
Option D: y is greater than three

30.What are the coordinates of the vertex of the graph of f(x) = 2|x| + 4?

(2, 4)

(0, 4)

(2, 0)

(4, 2)

3 answers

i think for question 30 it is 0,4 am i correct?? and can u plz help me with the other question???
nvm i figured both problems out
Hi Mary,

Q30 : Yes you are correct. Vertex is the highest point of a graph. Moreover,the f(x) cannot be zero because if f(x) = 0,
then 2|x| = -4
|x| = -2 ,which is undefined since |x|is always positive.

Q21 : The answer is D. Try to substitute a number of x value and you'll get to see the pattern. The least value of y is 3.

Hope my explanation helps :)