Question

How is the graph of y=(x-1)2-3 transformed to produce the graph of y=3(x+4)2?

1
O The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3
O The graph is stretched vertically by a factor of 2, translated left 5 units, and translated up 3 un
O The graph is translated left 5 units, compressed horizontally by a factor of 2, and translated d
O The graph is stretched horizontally by a factor of 2, translated left 5 units, and translated dow
a

Answer 1

Option 2

Explanation:

Let the original graph be f(x) and new graph g(x).

• f(x) = (x - 1)² - 3
• g(x) = 2(x + 4)²

The transformations are :

1. The graph is translated left 5 units.
2. The graph is translated up 3 units.
3. The graph is stretched vertically by a factor of 2.