How are the graphs #f(x)=x^2# and #g(x)=1/2x^2-5# related?

1 Answer
mimi
Nov 14, 2017

#f(x)# is the parent graph of #g(x)#. See below.

Explanation:

Basically, #f(x)# is the original graph , while #g(x)# is the result of #f(x)# after it went through transformations .

Notice how in #g(x)#, #x^2# (which is the same as #f(x)#) is stretched by a factor of #1/2# and moved downwards 5 units.

If we take away these two transformations on #g(x)#, it'll look like #f(x)#.

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