Jocelyn and Deondre were asked by their teacher to graph two equations. Jocelyn was asked to graph the...

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Jocelyn and Deondre were asked by their teacher to graph two equations. Jocelyn was asked to graph the equation y = (x + 6)² − 2. Deondre's teacher asked him to graph the equation y = −(x + 1)² − 2 and describe the transformation of his graph from Jocelyn's graph. How should Deondre correctly respond to his teacher? Make sure to include mathematical reasoning.

SnapAndSolve AI · Accepted Answer

Deondre should say: Shift Jocelyn’s graph 5 units to the right, then reflect it across the horizontal line y = −2.Jocelyn’s parabola has vertex (−6, −2) and opens upward. Shifting right 5 units gives y = (x + 1)² − 2, with vertex (−1, −2). Reflecting across y = −2 reverses the squared term’s sign, producing y = −(x + 1)² − 2. Deondre’s parabola therefore has vertex (−1, −2) and opens downward.

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Jocelyn and Deondre were asked by their teacher to graph two equations. Jocelyn was asked to graph the...

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