1 Find the equation of the function that is finally graphed

1. Find the equation of the function that is finally graphed after the following transformations are applied to the graph of y= X^2

. a. Shift right 3 units. b. Reflect about the x-axis. c. Shift down 2 units.

Solution

1. y = x^2

a)    Shift right 3 units

y = (x -3)^2

b) Reflect about the x-axis

y = - (x-3)^2

c)   Shift down 2 units.

y = -x(x-3)^2 -2

1. Find the equation of the function that is finally graphed after the following transformations are applied to the graph of y= X^2 . a. Shift right 3 units. b.

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