Help with this parabola, 3x^2 +4x+12

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Help with this parabola, 3x^2 +4x+12

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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well I can tell you its positive definite
statement ? factor ? solve for x ? graph ? write in vertex form? find vertex point ? what is axis sym ?

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I dont know how to find the zeros
alright zeros(solutions , x-intercept) you can use quadratic formula `OR` you can factor it
which one is easy for you ? factors or quadratic formula ?
Factors
ohh well nvm you have to apply the quadratic formula \[\huge\rm x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]
ax^2+bx+c quadratic equation where a=leading coefficient b=middle term c-constant term so what is a b and c in that equation ?
\(\huge\color{reD}{\rm b^2-4ac}\) `Discriminant` you can use this to find if the equation is factorable or not if ` b^2-4ac > 0` then there are 2 real zeros if ` b^2-4ac = 0` then there is one real root if ` b^2-4ac < 0` then you will get two complex roots (no -x-intercept)
zeros is another word they use for solutions and x-intercept
can u show me how to write it in vertex form .. @Nnesha
complete the square y=a(x-h)^2+k ?
o thats all lol... im now doing this ..thanks
i mean convert 3x^2 +4x+12 into y=a(x-h)^2+k <---(vertex form) b using completing the square method :=)
i know what u meant thanks
np :)
so it would be 3x^2+(4x/2)^2+......+12-..... (3x^2+4x+4)+12-4 (3x+2)^2+8 is this correct
i think i did something wrong
okay you need to complete the square of (3x^2+4x) it would be great if you take out the 3
i've to go rn cya later
ok

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