# Answer to Question #1384 in Algebra for Celina

Question #1384

What is the x-coordinate of the vertex of y = |4x – 12| – 3?

Select the graph of y = – |x + 3| + 2

Select the graph of y = |x – 1| – 1

Select the graph of y = – |x + 3| + 2

Select the graph of y = |x – 1| – 1

Expert's answer

a) We can rewrite the function in such way:

y = 4|x-3|-3.& The graph of the function is moved by 3 points to the right and by 3 points downward.

So, the axis of the function is& (3, -3).

Analogously:

b) x-coordinate of the axis would be -3

c) x-coordinate of the axis would be 1

y = 4|x-3|-3.& The graph of the function is moved by 3 points to the right and by 3 points downward.

So, the axis of the function is& (3, -3).

Analogously:

b) x-coordinate of the axis would be -3

c) x-coordinate of the axis would be 1

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