Question

How do you graph `y + 1/2 = -1/3(x+1/2)`?

Answer 1

`y=x^2/3+x/3-5/12`

Explanation:

You need to transform the given equation into a more workable format.

Subtract `color(blue)(1/2)` from both sides.

`y+1/2color(blue)(-1/2)=-1/3(x+1/2)^2color(blue)(-1/2)`

`y+0=1/3(x+1/2)^2-1/2`
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Square the brackets

`y=1/3(x^2+x+1/4)-1/2`

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Multiply the contents of the brackets by `1/3`

`y=(x^2)/3+x/3+1/12 -1/2`

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Simplify the constant

`y=x^2/3+x/3-5/12`
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Produce a table of values and plot your graph