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:

if im undersanding the question correctly, its organized from 10

step-by-step explanation:

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x