Question

Which equation represents the graph?

y = 5|x| + 3





y = 3|x + 5|





y = 3|x| + 5





y = 5|x + 3|

Answer 1

9514 1404 393

Answer:

(c) y = 3|x| + 5

Explanation:

The vertex is at (0, 5), so the basic function has been translated up 5 units.

The slope of each line has a magnitude of 3, so the basic function has been scaled vertically by a factor of 3.

The transformation ...

g(x) = c·f(x) +h

is a vertical scaling by a factor of c, and a translation upward by h units. Here, we have c=3 and h=5. The basic function is f(x) = |x|, so the transformed function shown on the graph is ...

y = 3|x| +5