Respuesta :
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 )
The standard form is y = x² - 3x - 3, the intercept form is y = (x - 3)(x + 1)
The vertex form is y = ( x - 1 )² - 4.
What is vertex form of a quadratic equation?
If a quadratic equation is written in the form
y = a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k).
A) The given function;
y = x² - 3x - 3
The factors of - 3 which sum to - 2 are - 3 and 1.
B) For the intercept form
y = (x - 3)(x + 1)
C) For vertex form use ' completing the square '
y = x² + 2( -1 )x + ( - 1 )² - ( - 1 )²
y = ( x - 1 )² - 4
y = ( x - 1 )² - 4
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