Question
Which key feature helps to clearly illustrate that this graph has been moved down 3 units from the parent function y=x2
?
(1 point)
Responses
the direction the graph opens
the direction the graph opens
the symmetry of the graph
the symmetry of the graph
the graph’s rate of change
the graph’s rate of change
the y-intercept
?
(1 point)
Responses
the direction the graph opens
the direction the graph opens
the symmetry of the graph
the symmetry of the graph
the graph’s rate of change
the graph’s rate of change
the y-intercept
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 graph of \( y = x^2 \) is moved down 3 units, the new equation becomes \( y = x^2 - 3 \). The y-intercept changes from (0, 0) to (0, -3), clearly indicating the downward shift.
When the graph of \( y = x^2 \) is moved down 3 units, the new equation becomes \( y = x^2 - 3 \). The y-intercept changes from (0, 0) to (0, -3), clearly indicating the downward shift.