Graph the parent function the describe the transformation g(x)=1/2(x+3)^2+3

Rules for the transformations of a parent function are given as,

If the parent function f(x) = x² is transformed as,

Shifted 1 unit left, the image function will be,

       g(x) = (x + 1)²

Shifted 1 unit right, the image function will be,

       g(x) = (x - 1)²

Shifted 1 units upwards, image function will be,

       g(x) = x² + 1

Shifted 1 units downwards, image function will be,

       g(x) = x² - 1

Vertically stretched by a factor k,

       g(x) = kx²

Inverted about the x-axis,

       g(x) = -x²

With the help of these transformations, following transformed functions will be defined as,

16). f(x) = (x - 1)² + 3

       Parent function is shifted 1 unit right and 3 units upwards.

 17). y = (x + 1)² - 3

       Parent function is shifted 1 unit left and 3 units left.

 18). g(x) = 2x²

       Parent function is vertically stretched by a factor of 2.

 19). f(x) = - (x - 1)² + 7

Parent function is inverted about the x-axis, followed by 1 unit shift on the right and 7 units upwards.  

Step-by-step explanation:

kk.bj.

step-by-step explanation:

.mnm.kn.kj

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.