Help with creating an x and y table with a given equation?

[becca]

Consider the equation given below.
x2 − y2 = 1.

Create a table with these sample points of x.
-3 (smaller and larger x-values)
-2 (smaller and larger x-values)
2 (smaller and larger x-values)
3 (smaller and larger x-values)

 

[Deleted member 4993]

Consider the equation given below.
x² − y² = 1. <<< I assume this is the actual problem

Create a table with these sample points of x.
-3 (smaller and larger x-values)
-2 (smaller and larger x-values)
2 (smaller and larger x-values)
3 (smaller and larger x-values)

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you

 

[mmm4444bot]

Why did you type "smaller and larger x-values" after each value of x? :???:

 

[becca]

Why did you type "smaller and larger x-values" after each value of x? :???:

 

[Deleted member 4993]

Now:

Show your work, and

tell us exactly where you are stuck.

 

[mmm4444bot]

Okay, I see the screenshot taken from your machine teacher.

You misread the information in the chart from part 2. It does not say "smaller x-value". It says "smaller y-value".

They gave you some sample values for x. You need to find the two values of y that are associated with each value of x.

Here is an example, using the value 4 for x.

x^2 - y^2 = 1

Find the two values of y that make this equation true when x = 4.

4^2 - y^2 = 1

16 - y^2 = 1

y^2 = 16 - 1

y = sqrt[15] or y = -sqrt[15]

This tells us that the following two points (rounded) are on the graph of the equation.

(4.0, 3.9)

(4.0, -3.9)

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In part 1, do the green check marks indicate that your machine teacher accepted sqrt(1) and -sqrt(1) as correct for the x-intercepts?

If so, I would like you to know that we do not generally write the number one as sqrt(1). Likewise, we do not write the number zero as sqrt(0).

It's kinda like walking into a sandwich shop and saying, "I'd like 100/200ths of a sandwich, please".