A parabola that opens upward and seven labeled points on the parabola are plotted on a coordinate plane. The parabola has bidirectional arrows and is labeled f left parenthesis x right parenthesis equals x squared baseline minus 3.

Question

A parabola that opens upward and seven labeled points on the parabola are plotted on a coordinate plane. The parabola has bidirectional arrows and is labeled f left parenthesis x right parenthesis equals x squared baseline minus 3.
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 y-intercept
the y- intercept

the direction the graph opens
the direction the graph opens

the graph’s rate of change
the graph’s rate of change

the symmetry of the graph

GPT-4o mini · Answer

The key feature that helps to clearly illustrate that this graph has been moved down 3 units from the parent function \( y = x^2 \) is the y-intercept.

The function \( f(x) = x^2 - 3 \) has a y-intercept at \( (0, -3) \), while the parent function \( y = x^2 \) has a y-intercept at \( (0, 0) \). This shift in the y-intercept is a clear indicator of the graph being moved down 3 units.