put y=x^-2x-3 into vertex form

Question

 convert y=x^-2x-3 into vertex and intercept form

 

Answer 1

I think the equation is:

 

y = x² - 2x - 3

 

The vertex form is y = a(x-h)² + k.  To convert from the standard form to the vertex form, complete the square:

 

y + 3 = x² - 2x

 

Add 1/2 of the coefficient of the x term (-2x) squared to both sides

 

y + 3 + (-2/2)² = x² - 2x + (-2/2)²

y + 3 + 1 = x² - 2x + 1

y + 4 = (x-1)²

 

y = (x-1)² - 4