Question

Describe the differences between the graph of y=−34(x−6)2+4 and the standard position graph of y = x2.

Answer 1

Hi joe,

Notice that the function under examination is still in the form of x^2; however, the shape of it has changed. In general:

When you subtract a value from x, this will shift the graph to the left
When you add a value to y, this will shift the graph up
When you multiply y by a value, this will make things happen much quicker.

Answer 2

Make any sense?

Answer 3

http://www.wolframalpha.com/input/?i=plot [y+%3D+x^2%2C+y%3D+%28-34%28x-6%29^2%29%2B4%2C+{x%2C-10%2C10}%2C{y%2C-10%2C10}]

Answer 4

plot[y = x^2, y= (-34(x-6)^2)+4, {x,-10,10},{y,-10,10}]
Put above in Wolfram box (you can change the scales by adjusting the 10 and -10

Answer 5

True, but understanding the concepts of what is happening with the coefficients is a better method for trying to answer the question. In my opinion.

Answer 6

I prefer to use both, myself.

Answer 7

Actually, when you subtract from x, the graph shifts to the right.