Question

PLEASE HELP, BEEN STUCK FOR AN HOUR

How will you graph the function g(x) = (x – 4)+ 12 using the parent quadratic function, f (x) = x2?

Answer 1

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Answer:

see below

Explanation:

We assume your functions are ...

f(x) = x²

g(x) = (x -4)² +12

_____

You need to be able to recognize that g(x) matches a pattern:

g(x) = f(x-h) +k

where h = 4, and k = 12.

In this pattern, the value of h is the number of units the graph is translated to the right. The value of k is the number of units the graph is translated up.

So, g(x) is the same as the graph of f(x), but translated 4 units right and 12 units up.