# Math Help - Graphing function

1. ## Graphing function

I am to take f(x)=x^2-4, flip it vertically, then move it up 8 units.
Here is the picture of the graph, I am supposed to match f(x) to g(x).

2. Why is it incorrect?

If you meant "reflect it with respect to the x-axis" then
y = x^2 - 4 is translated to -y = x^2 - 4

so then you have y = -x^2 + 4

moving it up 8 units is a vertical translation of 8, so y = -x^2 + 12. (which is what you have but not simplified)

If it was meant to be read reflection about the y-axis, then x -> -x, so that y = x^2 - 4. add 8 makes it y = x^2 + 4

3. Originally Posted by md56
I am to take f(x)=x^2-4, flip it vertically, then move it up 8 units.
Here is the picture of the graph, I am supposed to match f(x) to g(x).

$f(x)=x^2-4 \ is \ a\ parabola\$
$so\ on\ flip\ it\ vertically,\ and\ then\ move\ it\ up\ 8\ units\quad g(x)=-(x^2-4)+8$