Question

f(x) = x^2 g(x) = x^2 - 8 g(x)= x^2 - 8 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f [up/down/left/right] by [ ] units.

Answer 1

We have that the parent function (the original function is x^2). If we add a number after it as:

`f(x)=x^2_{}+b`

We affect the function in the y-axis, that is, we move the original function upward or downward.

Therefore, to get the function g, we need to shift the f function down by 8 units, that is

`g(x)=f(x)-8=x^2-8`