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Using a quadratic graph to solve another.

Howdy. I am not sure how to answer this. I could complete the square and sketch it but it says use the graph given so don't think I could do that method.
Thanks


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Reply 1

Original post
by makin
Howdy. I am not sure how to answer this. I could complete the square and sketch it but it says use the graph given so don't think I could do that method.
Thanks
Image.jpeg
The original equation is y=x^2 -3 and the equation you want to solve is x^2-2x-2.
To solve it, you need to find the equation of a line such that x^2-3 = (equation of the line) can be rearranged to x^2-2x-2. Your values of x, for your solution, will be where your linear graph intersects the quadratic (which will be how you use the graph given to solve for x^2-2x-2).

Reply 2

Original post
by OneReader
The original equation is y=x^2 -3 and the equation you want to solve is x^2-2x-2.
To solve it, you need to find the equation of a line such that x^2-3 = (equation of the line) can be rearranged to x^2-2x-2. Your values of x, for your solution, will be where your linear graph intersects the quadratic (which will be how you use the graph given to solve for x^2-2x-2).

Thanks but I don't understand. The line is y=0? How would I rearrange that to get x^2 -2x -2?

Reply 3

Original post
by makin
Thanks but I don't understand. The line is y=0? How would I rearrange that to get x^2 -2x -2?

You can work backwards from x^2 -2x -2 to make it into x^2-3.
For example, if I were to do the working out:
x^2-2x-2=0
x^2-2=2x (2x is added on either side)
x^2-3 = 2x-1 (1 is subtracted from both sides)
Therefore, the linear line you have to draw and find the intersects with the quadratic graph is y=2x-1

Reply 4

Original post
by OneReader
You can work backwards from x^2 -2x -2 to make it into x^2-3.
For example, if I were to do the working out:
x^2-2x-2=0
x^2-2=2x (2x is added on either side)
x^2-3 = 2x-1 (1 is subtracted from both sides)
Therefore, the linear line you have to draw and find the intersects with the quadratic graph is y=2x-1

Thanks I get it now. 😀

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