Question

If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the equation of the new function?

A. g(x) = x^2 + 10
B. g(x) = (x – 10)^2
C. g(x) = x^2 – 10
D. g(x) = (x + 10)^2
I think it's B

Answer 1

A horizontal shift in the x direction for a function y = f(x), will change the x values by the amount of shift 'b'

f(x - b) = (x - 10)^2

Answer 2

So it will change to a positive ? @DanJs

Answer 3

It is the oposite sign you think, to go right you take f(x - 10), to go left you take f(x - (-10)) = f(x + 10)

Answer 4

the equation is x-h, where h is the shift, so if it is to the right, it will appear negative

Answer 5

I am so confused @jackthegreatest Danjs

Answer 6

if you slide the whole graph horizontally in the x direction, all the current X values will be moved to (x - b) instead. Where the shift is 'b' units in the horizontal direction.