Rewrite the function in the form y = ( x − h ) 2 + k, and find the vertex: y = x2 − 12x A. y = (x + 6 ) 2 − 36, vertex = ( 2, −6 ) B. y = ( x − 6 ) 2 + 36, vertex = ( 6, 0 ) C. y = ( x − 6 ) 2 − 36, vertex = ( 6, −36 ) D. y = x 2 − 36, vertex = ( −6, −6 )
Do you know how to complete the square?
@jordanguruu ?
no
satellite = jordanguruu?
no
i only know how to compute \(-\frac{b}{2a}=-\frac{-12}{2}=6\) so vertex is \((6,-36)\) and it looks like \(y=(x+6)^2-36\)
In any quadratic equation, you must add (\({b \over 2})^2\) to both sides.
i still do not understand
can you help me?
yes... but the answer is already given.... do you need furthur explanation?
i dont see the answer
lemme check...
yes... you are correct...
ok.. the x coordinate of the vertex of any parabola \[\large y=ax^2+bx+c\] is obtained by -b/(2a) where a , b, and c are the coefficients of the quadratic equation.
still with me?
i think so so the answer would be C? A. y = (x + 6 ) 2 − 36, vertex = ( 2, −6 ) C. y = ( x − 6 ) 2 − 36, vertex = ( 6, −36 )
correct... C... :)
Yes!
A. doesn't have the vertex written correctly
ok
good work man... :)
i have one more question can you help me?
post it up as a new question...
Use the quadratic formula to solve the equation: 6x 2 − 5x + 1 = 0 A. x = 1 or x = – 1⁄2 B. x = 2 or x = −1 C. x = – 1 ⁄ 3 or x = 3 D. x = 1 ⁄ 2 or x = 1 ⁄ 3
can you help?
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