Question
Which key feature helps to clearly illustrate that this graph has been moved down 3 units from the parent function y=x^2
?
(1 point)
Responses
the symmetry of the graph
the symmetry of the graph
the y-intercept
the y- intercept
the direction the graph opens
the direction the graph opens
the graph’s rate of change
?
(1 point)
Responses
the symmetry of the graph
the symmetry of the graph
the y-intercept
the y- intercept
the direction the graph opens
the direction the graph opens
the graph’s rate of change
Answers
GPT-4o mini
The key feature that helps to clearly illustrate that the graph has been moved down 3 units from the parent function \( y = x^2 \) is **the y-intercept**.
When the function is transformed to \( y = x^2 - 3 \), the y-intercept changes to \( -3 \), reflecting the downward shift of the graph.
When the function is transformed to \( y = x^2 - 3 \), the y-intercept changes to \( -3 \), reflecting the downward shift of the graph.