Math question quadratics.....

[Summer12]

Could someone please help explain to me how do I would express this questions transformational form and mapping notation? I don't understand what transformational form means......

y=(x+3)^2 - 1

y=(x-2)^2 + 2

y=(x+2)^2 + 1

I think I understand the mapping notation but i'm not sure.......
For the first one this is what I did:

y=(x+3)^2 - 1
When x is 0
y=(0+3)^2-1
y=8

When x is 1
y=(1+3)^2-1
y=15

So the I ploted (0,8) and (1,15) to start and go from x=0 to 4

If anyone could help I would really appreciated it!

 

[mmm4444bot]

I had to look up "transitional form" for quadratics. One site states it as follows.

(1/a) * (y - k) = (x - h)^2

Does this look like what you were taught? I'm not familiar with this form.

If this is it, then all we need to do is move the constant in each of your exercises from the right-hand side of the equation to the left-hand side, since 1/a equals one on all of them.

Here's the first one:

y + 1 = (x + 3)^2

(I'm not quite sure what the point is with these exercises.)

As for the mapping, it appears to me that you're trying to determine a set of points to plot so that you can connect them with a smooth curve to get the graph of the equation.

If so, then you're doing fine. Pick more values for x, and find the corresponding values for y. As you plot the points, you'll eventually see when you've got enough to get a nice graph.

 

[Summer12]

Thank-you very much for your help!