Mathematics: Use graphing to find the solution of the system of equations. -x^2+y=1, -x+y=2

The main character goes through hardships and conflict making the plot advance....

Use graphing to find the solution of the system

cortneykeeler

11.03.2022

ANSWER

x=-0.62 or x=1.62

EXPLANATION

For -x^2+y=1

We make y the subject to obtain,

y=x^2+1

We can easily graph this function, because we just have to transform the graph of y=x^2 by shifting the intercept up to .

As for the straight line, -x+y=2 ,

We find the intercepts as follows,

When y=0,x=-2 .

When x=0,y=2 .

We plot the points (-2,0) and

(0,2) .

We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be

x=-0.62 or x=1.62

See graph

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