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

Answer 1

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

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