Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 10 - Review - Page 632: 9

Answer

multiple answers; see details

Work Step by Step

The standard form of the equation $ y=-x^2+4x+10 $ is \begin{array}{l} x^2-4x=-y+10\\\\ x^2-4x+4=-y+10+4\\\\ (x-2)^2=-y+14\\\\ (x-2)^2=-(y-14) .\end{array} The graph of this equation is a $\text{ parabola }$ with the following properties: \begin{array}{l} \text{Vertex: }( 2,14 ),\\\\\text{Opening: down }.\end{array} Using the properties above, the graph of the equation is given below.
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