Graphing y = 2(sqrt x + 1) - 2 Without Graphic Calculator

[PaCMaN92]

Okay, I am having trouble graphic these two equations:

y = 2(square root: x + 1) -2

and

y = (2/x + 2) - 3

How can I graph these without a graphing calculator. Please Help!

BTW, This is grade 11 math, just in case you don't make it hard for me to understand, thanks!

 

[Deleted member 4993]

Re: Graphic Transformation Equations Without Graphic Calculator

Okay, I am having trouble graphic these two equations:

y = 2(square root: x + 1) -2

and

y = (2/x + 2) - 3


How can I graph these without a graphing calculator. Please Help!

BTW, This is grade 11 math, just in case you don't make it hard for me to understand, thanks!

1)

\(\displaystyle y \, = \, 2\cdot \sqrt{x \, + \, 1} \, - \, 2\)

Hint : the root function to start with:

\(\displaystyle y \, = \, \sqrt{x}\)

2)

\(\displaystyle y \, = \, \frac{2}{x \, + \, 2} \, - \, 3\)

Hint : the root function to start with:

\(\displaystyle y \, = \, \frac{1}{x}\)

If you are still stuck, please show us your work/thought, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[fasteddie65]

Re: Graphic Transformation Equations Without Graphic Calculator

y = 2(square root: x + 1) - 2 is a translation of y = ?x, as well as a stretch. The factor 2 in front stretches the graph vertically by a factor of 2. The (x + 1) in the radical is a translation of 1 to the left, and the -2 after the radical is a vertical translation of down 2.

and

y = (2/(x + 2)) - 3 is a translation of 1/x, as well as a stretch. The factor 2, as in the previous problem, stretches the graph vertically by a factor of 2. The (x + 2) in the denominator is a translation of 2 to the left, and the -3 is a vertical translation of down 3.