20 points! will give brainliest! convert the given form of the function into the other two forms. (a) standard form: y=x^2-2x-3 (b) vertex form: y-5=-2(x+1)^2 (c) intercept form: y=(x+2)(x-3)

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 )

-1

step-by-step explanation: