Question

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

Answer 1

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`