Answer to Question #1384 in Algebra for Celina

Question

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

Answer 1

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