Describe the transformations of moved to the leftrightupdown

Describe the transformations of moved to the left/right/up/down, flipped over the vertex) and graph. y = x^2 - 3 y = |x + 2| - 3 y = -(x + 1)^2 + 3 y = -|x - 4|

Solution

y = x^2 - 3

parent function is y = x^2

parent function is moved 3 units downwards

2) y = | x + 2 | - 3

parent function is y = | x|

parent function is moved 2 units to the left and 3 units downwards

vertex is shifted from 0,0 to ( -2 , -3 )

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

parent function is y = x^2

flipped along x axis

moved 1 unit to the left and 3 units upwards

vertex is shifted from (0,0) to ( -1 , 3)

4) - | x- 4|

flipped along x axis

moved 4 units to the right

vertex is ( 4 , 0 )