Question

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

Answer 1

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 $1$.

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