What is the inverse of y=-3(x-1)^2+2 ?

The inverse of y=-3(x-1)^2+2 is sqrt(-(x-2)/3)+1,-sqrt(-(x-2)/3)+1

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inverse of y=-3(x-1)^2+2

inverse

y = - 3 (x - 1)^{2} + 2

- \frac{x - 2}{3} + 1, - - \frac{x - 2}{3} + 1

Solution steps

y = - 3 (x - 1)^{2} + 2

Replace

x

with

y

x = - 3 (y - 1)^{2} + 2

Solve for

y, x = - 3 (y - 1)^{2} + 2

- \frac{x - 2}{3} + 1, - - \frac{x - 2}{3} + 1

f (x) = 2 a^{x}

3 - 12 x + 2

f (x) = 3^{(x + 3) - 6}

\frac{1 - 41 x}{x}

f (x) = \frac{( 3 x + 1 ) ^{2}}{2} - 4

What is the inverse of y=-3(x-1)^2+2 ?
The inverse of y=-3(x-1)^2+2 is sqrt(-(x-2)/3)+1,-sqrt(-(x-2)/3)+1