# Thread: Nonlinear Functions

1. ## Nonlinear Functions

I got a homework assignment to graph some nonlinear functions. I have no idea what they are, much less how to graph them. The problems are as follows:
1. $\displaystyle y = |x| - 2$
2. $\displaystyle y = -x$²$\displaystyle + 3$
3. $\displaystyle y = 2x$²$\displaystyle - 4$
4. $\displaystyle y = 2|x| + 3$

If somebody could help me with this, I'd be rather grateful.

2. 1.) Think of the line $\displaystyle y=x$ . Now, all values that are negative become positive because of the absolute value. Because of the -2 on the end, the whole function is shifted down two units.

2.) Think of the basic parabola $\displaystyle y=x^2$ . Now, all positive values become negative and all negative values become positive because of the negative coefficient. Then, the whole function is shifted up 3 units.

3.) Once again, think of the basic parabola. Because the coefficient of the x term is 2, all of the values are multiplied by 2. Then, the whole function is shifted down 4 units.

4.) Think of the line $\displaystyle y=x$ . Now, all values that are negative become positive because of the absolute value. Because the coefficient is 2, all of the values are multiplied by 2. Then, the whole function is shifted up 3 units.

3. I need to know what to do in order to graph them.

4. And I told you how. Do you know how to graph the line $\displaystyle y=x$ ? What about the parabola $\displaystyle y=x^2$ ?

5. No, I know neither.

6. Originally Posted by Mr.angry
No, I know neither.
There's little point in providing help with these questions when you clearly lack the necessary pre-requisite mathematical knowledge and skills to understand the help given.

You are strongly advised to seek extensive one-on-one help from someone, probably starting with your instructor.