Use the image to answer the question.

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 direction the graph opens
the direction the graph opens

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

the y-intercept
the y- intercept

the symmetry of the graph

Answer 1

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 $f(x)=x^2-3$ indicates that the entire graph of the parent function $y=x^2$ has been shifted downward by 3 units, affecting the y-intercept. In this case, the y-intercept (where the graph intersects the y-axis) will be -3, instead of 0 as it is in the parent function.