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

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 symmetry of the graph
the symmetry of the graph

the direction the graph opens
the direction the graph opens

the y-intercept
the y- intercept

the graph’s rate of change

Answer 1

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.

In this case, the parent function \( y = x^2 \) has a y-intercept of \( 0 \) (i.e., it crosses the y-axis at \( (0,0) \)), while the function \( f(x) = x^2 - 3 \) has a y-intercept of \( -3 \) (i.e., it crosses the y-axis at \( (0,-3) \)). This shift in the y-intercept clearly indicates that the graph has been moved down by 3 units.