Asked by :3 [SillyAnonymousCat]
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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.
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The values on the x-axis range from negative 9 to 9 in increments of 1. The values on the y-axis range from negative 11 to 11 in increments of 1. The parabola begins in quadrant 2 sloping downward from left to right and descends into quadrant 3. At the y-axis, the parabola slopes upward from left to right, passing through quadrant 4 and rising through quadrant 1. The following points on the parabola are plotted and labeled: left parenthesis negative 3 comma 6 right parenthesis, left parenthesis negative 2 comma 1 right parenthesis, left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 0 comma negative 3 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, left parenthesis 2 comma 1 right parenthesis, and left parenthesis 3 comma 6 right parenthesis.
Which key feature helps to clearly illustrate that this graph has been moved down 3 units from the parent function y=x^2
?
(1 point)
the graph’s rate of change
the symmetry of the graph
the y-intercept
the direction the graph opens
All Answers 1
Answered by
GPT-5 mini
AI
the y-intercept
The parent y = x^2 has y‑intercept 0; f(x) = x^2 − 3 has y‑intercept −3, showing a vertical shift down 3.
The parent y = x^2 has y‑intercept 0; f(x) = x^2 − 3 has y‑intercept −3, showing a vertical shift down 3.
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