Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit d

Question

Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit down.

ƒ( x) = ( x + 8) 2 + 1
ƒ( x) = ( x – 8) 2 + 1
ƒ( x) = ( x + 8) 2 – 1
ƒ( x) = ( x – 8) 2 – 1

Xavia · Answer

we conclude that the correct option or the  translated function  is the last one.  f(x) = (x - 8)² - 1     Which is the correct equation for the transformed function?   The  parent quadratic function  is:  y = g(x) =  x²    If we  translate  this function 8 units to the left, then we will have the new function:  f(x) = g(x - 8)    And if now we  translate  this function one unit downwards, we will get:  f(x) = g(x - 8) - 1    Now we can replace g(x) by the  parent quadratic function  we willl get:  f(x) = (x - 8)² - 1    From this, we conclude that the correct option is the last one.    If you want to learn more about  translations :  https://brainly.com/question/16345758  #SPJ1

Which is the correct equation for the transformed function?

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