Question
The graph of f(x)=x2 was transformed to create the graph of g(x)=(x+5)2.
Which statement describes this transformation?
Responses
a horizontal shift to the right 5 units
a horizontal shift to the right 5 units
a horizontal shift to the left 5 units
a horizontal shift to the left 5 units
a vertical shift up 25 units
a vertical shift up 25 units
a vertical shift down 25 units
Which statement describes this transformation?
Responses
a horizontal shift to the right 5 units
a horizontal shift to the right 5 units
a horizontal shift to the left 5 units
a horizontal shift to the left 5 units
a vertical shift up 25 units
a vertical shift up 25 units
a vertical shift down 25 units
Answers
GPT-4o mini
The transformation from the graph of \( f(x) = x^2 \) to \( g(x) = (x + 5)^2 \) is a horizontal shift. Specifically, the expression \( (x + 5) \) indicates that the graph is shifted to the left.
Thus, the correct statement is:
**a horizontal shift to the left 5 units**.
Thus, the correct statement is:
**a horizontal shift to the left 5 units**.