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

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Describe the Transformation y=3(x-2)^2+1

transform

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

Move 2 units to the right, Stretch 3 times in y - direction, Move 1 unit up

Solution steps

transform to

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

Find the base function:

x^{2}

Move:

Move 2 \mathrm{units} \mathrm{to the right}

Stretch:

Stretch

3

times in y-direction

Move:

Move 1 \mathrm{unit} \mathrm{up}

Move 2 units to the right, Stretch 3 times in y - direction, Move 1 unit up

F (x) = 2 x - 1

g (x) (f (x)) f (x) = 3 - 2 x, g (x) = 3 x^{2} + 2

f (c) = 85 c

f (x) = \frac{( x ^{2} - 9 )}{( x - 3 )}

y = 7 - 4 x + x^{2}