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 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
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1 answer
The key feature that helps to clearly illustrate that the graph of \( f(x) = x^2 - 3 \) has been moved down 3 units from the parent function \( y = x^2 \) is the y-intercept.
The y-intercept of the original parent function \( y = x^2 \) is at (0, 0), while the y-intercept of the function \( f(x) = x^2 - 3 \) is at (0, -3), clearly indicating that the graph has been shifted down 3 units.
