Solve the equation $y=3x^2-4x+2$

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Final answer to the problem

$y=\frac{9\left(x-\frac{2}{3}\right)^2+2}{3}$
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Step-by-step Solution

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Apply the formula: $ax^2+bx+c$$=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right)$, where $a=3$, $b=-4$ and $c=2$

$y=3\left(x^2-\frac{4}{3}x+\frac{2}{3}\right)$

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$y=3\left(x^2-\frac{4}{3}x+\frac{2}{3}\right)$

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Learn how to solve problems step by step online. Solve the equation y=3x^2-4x+2. Apply the formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), where a=3, b=-4 and c=2. Apply the formula: a\left(x^2+b+c\right)=a\left(x^2+b+c+\left(\frac{coef\left(b\right)}{2}\right)^2-\left(\frac{coef\left(b\right)}{2}\right)^2\right), where a=3, b=-\frac{4}{3}x and c=\frac{2}{3}. Apply the formula: a\left(x^2+b+c+f+g\right)=a\left(\left(x+\sqrt{f}sign\left(b\right)\right)^2+c+g\right), where a=3, b=-\frac{4}{3}x, c=\frac{2}{3}, x^2+b=x^2-\frac{4}{3}x+\frac{2}{3}+\frac{4}{9}-\frac{4}{9}, f=\frac{4}{9} and g=-\frac{4}{9}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=2, b=3, c=-1, a/b=\frac{2}{3} and ca/b=- \frac{2}{3}.

Final answer to the problem

$y=\frac{9\left(x-\frac{2}{3}\right)^2+2}{3}$

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Function Plot

Plotting: $y-3x^2+4x-2$

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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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