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Norma-Jean [14]
3 years ago
13

Write in vertex form y= -3x^2-18x-31

Mathematics
2 answers:
lions [1.4K]3 years ago
7 0

ANSWER

y =  - 3( {x + 3)}^{2} - 4

EXPLANATION

The given function is

y =  - 3 {x}^{2} -  18x - 31

Factor -3

y =  - 3( {x}^{2}  + 6x) - 31

Add and subtract the square of half the coefficient of x.

y =  - 3( {x}^{2}  + 6x +  {3}^{2} ) -  - 3( {3)}^{2}  - 31

y =  - 3( {x}^{2}  + 6x +  {3}^{2} )  + 27  - 31

Apply perfect squares,

y =  - 3( {x +3)}^{2} - 4

The vertex form is:

y =  - 3( {x +3)}^{2} - 4

9966 [12]3 years ago
5 0

Answer:

I'm not sure if your asking for an entire equation but the points for the vertex would be (-3,-4)

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