y= x² - 3x - 3 → ( in standard form )
factor the quadratic to obtain intercept form
the factors of - 3 which sum to - 2 are - 3 and + 1
y = (x - 3)(x + 1) → ( in intercept form )
for vertex form use ' completing the square '
y = x² + 2( -1 )x + ( - 1 )² - ( - 1 )² = ( x - 1 )² - 4
y = ( x - 1 )² - 4 → ( in vertex form )
