How is the graph of the parent function y = x squared transformed to produce the graph of y = 3 (x + 1) squared? It is translated 1 unit right and compressed vertically by a factor of 3. It is translated 1 unit left and compressed vertically by a factor of 3. It is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.
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Given : graph of the parent function y = x squared transformed to produce the graph of y = 3 (x + 1) squared
To find : Choose correct option
Solution:
y = x²
y = 3(x + 1)²
minimum value of y = 0
y = 0 => x = 0 for x²
y = 0 => x = -1 for 3(x + 1)²
=> y = 3(x + 1)² is translated 1 unit left
Value of y is multiplied by 3 > 1
hence it is compressed
Correct option is :
. It is translated 1 unit left and compressed vertically by a factor of 3.
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