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
1 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 \(f(x) = x^2 - 3\) 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.
