Hey there! :)
Answer:
D. A vertical translation of f(x) four units downward.
Step-by-step explanation:
Recall that the transformations form of an absolute value function is:
f(x) = ±a|b(x-h)|+k
Where 'a' is a vertical stretch/compression
'b' is a horizontal stretch/compression
'h' is a horizontal shift
'k' is a vertical shift
In g(x) = |x| -4, we can derive a k value of -4.
This means that from f(x) to g(x), there has been a vertical translation of f(x) four units downward.
1)
8² + 15² = 17²
64 + 225 = 289
This is true, so the triangle is a right triangle.
2)
4² + 12² = 13²
16 + 144 = 169
This is false, so the triangle is not a right triangle.
3)
20² + 21² = 27²
400 + 441 = 729
This is false, so the triangle is not a right triangle.
4)
28² + 45² = 53²
784 + 2,025 = 2,809
This is true, so the triangle is a right triangle.
8cm, since 6 full squares and 4 halves
hope it helps...!!!
