2. Error Analysis Given the function
g(x) = (x + 3), Martin says the graph should
be translated right 3 units from the parent
graph f(x) = x2. Explain his error. © MP.3

Respuesta :

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

[tex]f(x+h)[/tex] shifts graph of f(x) by h units to the left.

[tex]f(x-h)[/tex] shifts graph of f(x) by h units to the right.

Given:

Parent function: [tex]f(x)=x^2[/tex]

[tex]g(x) = (x + 3)^2[/tex]

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.

Learn more about translation:

https://brainly.com/question/23871783

https://brainly.com/question/17151826