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  y = (x + 3)^2 - 4

  y = (x + 3) (x + 3)  - 4

  y = x^2 + 3x + 3x + 9 - 4

  y = x^2 + 6x + 5

Standard form 

You need to expand the exponent. So (x + 3)^2 would be (x + 3) (x + 3).

Expand and simplify 

Vertex to standard form

Expand & Simplify 

Vertex form 

Example 1

Example 2

  y = (x + 8)^2 + 6

  y = (x + 8) (x + 8)  + 6

  y = x^2 + 8x + 8x + 64 + 6

  y = x^2 +16x + 70

Vertex form 

Standard form 

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