Question

MEDALS
Functions f(x) and g(x) are shown below.
f(x) = x2

g(x) = x2 - 8x + 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Answer 1

Options
Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units

Answer 2

g(x) = x^2 - 8x + 16

You can see that the above function is a perfect square.
Hope you remember that (a-b)^2=a^2-2ab+b^2

x^2 - 8x + 16 is the same with a=x and b=4
x^2 - 8x + 16=(x-4)^2

So the shift from x^2 is by 4 units.
And it is to the right. You can see that easily of you sketch the graphs.

Answer 3

thanks so much

Answer 4

""So the shift from x^2 is by 4 units.
And it is to the right. You can see that easily of you sketch the graphs.

I put B and I got it wrong :o

Answer 5

It's to the left by four units, because the four is negative and it shouldn't be going in the positive direction.