Question

y = (x - 2)2 + 2 Match the equation to its description. a) Right 2 and up 2 b) Left 2 and up 2 c) Right 2 and down 2 d) Left 2 and down 2

Answer 1

We are given the following equation:

$y=(x-2)^2+2$

If f(x) is a parent function then a function of the form f(x - a) means that the function has been translated "a" units to the right, and a function of form f(x) + b, means that the function has been translated b units up. If we take as parent function:

$f(x)=x^2$

Then we can translate 2 units to the right:

$f(x-2)=(x-2)^2$

And then translate 2 units up:

$f(x)=(x-2)^2+2$

And we get the given function. Therefore, the given function is 2 units to the right and 2 units up.