Question

I lied. This is for sure the last one though.

Answer 1

Answer:

y = |x - 5| + 2

Step-by-step explanation:

f(x) + n - shift up n units

f(x) - n - shift down n units

f(x + n) - shift left n units

f(x - n) - shift right n units

f(-x) - reflect about the y-axis

-f(x) - reflect about the x-axis

The graph of the function y = |x| has a vertex in the origin (0, 0).

The vertex of the given graph is in the point (5, 2) - incorrectly marked coordinates on the graph (2, 5).

Conclusion:

The graph of the function y = |x| has been shifted 5 units to the right and 2 units up.

Therefore:

y = |x - 5| + 2