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 symmetry of the graph
the symmetry of the graph
the graph’s rate of change
the graph’s rate of change
the direction the graph opens
the direction the graph opens
the y-intercept
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.
In the function \( f(x) = x^2 - 3 \), the y-intercept occurs at (0, -3), which is 3 units lower than the y-intercept of the parent function \( y = x^2 \), which occurs at (0, 0). This shift in the y-intercept directly indicates that the graph is translated downwards by 3 units.
3 answers
3 answers
1 answer
1 answer