Find the equation of the quadratic function with zeros - 8 and - 2, "a" less than zero, and a vertex at (-5, 9).

Question

Javon Reese

Mathematics

1 December, 05:50

Find the equation of the quadratic function with zeros - 8 and - 2, "a" less than zero, and a vertex at (-5, 9).

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Answers (1)

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Madden Rasmussen · Answer 1

Hello,

y=k (x+8) (x+2) and pass through (-5,9)

==> 9=k (3) (-3) = = >k=-1

y = - (x+8) (x+2) = - (x²+10x+16) = - (x²+2*5x+25-25) - 16

= - (x+5) ²+25-16

y = - (x+5) ²+9