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Y = -(x+5)^2 + 9 into standard form.

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The given function is


y=-(x+5)^2+9

To express the function into standard form, expand the bracket

This gives


\begin{gathered} y=-(x+5)(x+5)+9 \\ y=-(x^2+5x+5x+25)+9 \\ y=-(x^2+10x+25)+9 \end{gathered}

Multiply the bracket with the minus sign

This gives


y=-x^2-10x-25+9

This further gives


y=-x^2-10x-16

Therefore, the equation in standard form is


y=-x^2-10x-16

User JP Kim
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