Question

2. Error Analysis Given the function

Answer 1

Martin's error : The graph of g(x) should be translated 3 units left (not right) from the parent graph.

Concept - Horizontal Translation:

If f(x) is a parent function, then

$f(x+h)$ shifts graph of f(x) by h units to the left.

$f(x-h)$ shifts graph of f(x) by h units to the right.

Given:

Parent function: $f(x)=x^2$

$g(x) = (x + 3)^2$

By using concept of horizontal translation,

The graph of g(x) should be translated 3 units left from the parent graph.

i.e. Martin's error : The graph of g(x) should be translated 3 units left (not right) from the parent graph.

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