Graphing an equation on calculator question

[Hayman Chan]

How do I graph an inverse parabola on a calculator? As in a normal parabola but opening to the left or right. Which means its X= instead of Y=.

If this is impossible(I know it is possible to use two separate equations), is there any other way to add more "Y="s on the graphing calculator? There is only 10 at the moment, and my assignment is to use basic graph and transformations to draw pictures, on a graphing calculator. My main problem right now is that I need more "Y="s to complete my picture, since it consists a lot of semi circle equations(my picture has a lot of circles)...

If not (sigh), can anybody else think of some intricate but reasonable pictures that I can make? At the moment, I'm making headphones :)

 

[HallsofIvy]

How do I graph an inverse parabola on a calculator? As in a normal parabola but opening to the left or right. Which means its X= instead of Y=.

If this is impossible(I know it is possible to use two separate equations), is there any other way to add more "Y="s on the graphing calculator? There is only 10 at the moment, and my assignment is to use basic graph and transformations to draw pictures, on a graphing calculator. My main problem right now is that I need more "Y="s to complete my picture, since it consists a lot of semi circle equations(my picture has a lot of circles)...

If not (sigh), can anybody else think of some intricate but reasonable pictures that I can make? At the moment, I'm making headphones :)

You have three choices.

1) Graph y= x² and turn your calculator on its side.

2) Graph the "inverse" function $y= \sqrt{x}$. Because f(x)= x² does not have a true inverse, that does not give you the entire parabola- there is no function that is the "inverse" of f(x)=x². You will, as you say, have to use two functions, $y= \sqrt{x}$ and $y= -\sqrt{x}$

3) Use the "parametric functions" graphing mode if your calculator has one. Let y= t, x= t^2.

Since you don't say what kind of calculator you have, I have no idea whether it is limited to 10 graphs or not.

 

[Architeuthis Dux]

To graph an inverse parabola on a calculator, you will need to use the graphing function. This function allows you to plot multiple equations on the same graph. To graph an inverse parabola, you will need to enter the equation in the form of X = aY^2 + bY + c, where a, b, and c are constants. This will ensure that the parabola is opening to the left or right instead of the traditional up or down.

If your calculator only allows for 10 "Y="s, you can still graph multiple equations by using the "Y=" function and adjusting the window settings to show all the equations you need. You can also use the "TRACE" function to move along the graph and see where the equations intersect.

In terms of creating intricate pictures, you can use transformations (such as translations, rotations, and reflections) to create more complex shapes. You can also use trigonometric functions (such as sine and cosine) to create curves and spirals. Another idea is to use parametric equations, which allow you to plot points using two separate equations for x and y coordinates.

In conclusion, with some creativity and knowledge of graphing functions, you can use your calculator to create complex and interesting pictures. Good luck with your assignment!