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Write the quadratic function in standard form. y= -(x+2)^2-7
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standard form is y = ax^2 + bx + c so, you need to expand that (x+2)^2 bit and arrange the results accordingly
What do you do with the exponent 2?
(x+2)(x+2) = x*2 + 2*x + 2*x + 2*2 = x^2 + 4x + 4 so y = -(x+2)^2 - 7 = - (x^2 + 4x + 4) - 7 = -x^2 - 4x - 4 - 7 = -x^2 - 4x - 11 @eliassaab got to watch for those leading - signs :-)
\[(x+2)^2= x^2 + 4 x +4\\ y=-(x+2)^2-7= -x^2 -4 x -4-7= x^2 + 4 x -3\\ y= -x^2- 4 x -11 \]
@whpalmer4, thanks for you remark. I am getting old to see the minus sign.
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