Hello,
Thank you for all of your help. Can you help me to figure out what the relation is for x=1-y^2? If I will be picking y values for a graph to get my x values then shouldn't it be 1-y^2? Thank you.
Yes. You are absolutely right Lois.
You need to plug in y-values of you choice to get the corresponding x-value of that or any particular graph.
Hope this helps. :)
Yes it did, thank you very much.
Hello!
I'd be happy to help you figure out the relation for x = 1 - y^2!
To determine the relationship between x and y, you need to isolate y in terms of x. Let's start by rearranging the equation:
x = 1 - y^2
To isolate y, we can subtract x from both sides:
y^2 = 1 - x
Next, we can take the square root of both sides of the equation:
√(y^2) = √(1 - x)
Simplifying further:
|y| = √(1 - x)
Since the square root always results in a positive value, we can remove the absolute value:
y = ± √(1 - x)
So, the relation between x and y is:
y = ± √(1 - x)
This equation represents two branches of a parabola, and each value of x will correspond to two possible values of y.
If you're looking to plot this equation on a graph, you can choose different values for y, substitute them into the equation, and then calculate the corresponding x values. This will help you generate a set of points that you can plot on a graph.
I hope this explanation helps! Let me know if you have any further questions.