Question

I need help on 3 questions please ASAP, will give best answer

What is the vertex of the graph of g(x) = |x - 9| + 3?
A. (-9, 3)
B. (-3, -9)
C. (9, -3)
D. (9, 3)

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The graph of f(x) is obtained by translating the graph of g(x) = |x|5 units to the right. Which is the equation of the graph of f(x)?
A. f(x) = |x| + 5
B. f(x) = |x - 5|
C. f(x) = |x + 5|
D. f(x) = |x| - 5
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Use the function to answer the question
{-2 if x < -3
f(x) ={4x if -3 ≤ x ≤ -1
{x^2 if x > -1

What is the value of f(3)?
A. -3
B. -2
C. 9
D. 12

Answer 1

For the first one, the vertex will be (-x,y) so it would be (9, 3).
For the second one, moving 5 units to the right would be the opposite, which is subtract, so its g(x) = | x - 5 |
For the third one, plug in 3 for the last one, which is x^2 because 3 > -1. So it would get you 9.

Answer 2

which means it would be D. (9, 3) right?

Answer 3

Yeah, D.

Answer 4

Would number 2 be B and would number 3 be C because those are my guesses for those?

Answer 5

Yeah thats correct.

Answer 6

Thank you so much! Rated you as best response right now and I will also become a fan of yours. :) Have a good day and I really appreciate your time and effort in helping me.

Answer 7

Thank you, and you're welcome!