Included in the figure is the equation of the parabolas y=x^2 + 1 and y= - x^2 + 9. Find the coordinates if A point.

A (- 2, 5 )

Step-by-step explanation:

A is a point of intersection of the 2 parabolas.

Equate the right side of both to find coordinates of A

x² + 1 = - x² + 9 ( add x² to both sides )

2x² + 1 = 9 ( subtract 1 from both sides )

2x² = 8 ( divide both sides by 2 )

x² = 4 ( take square root of both sides )

x = ± = ± 2

Since A is to the left of the origin then x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

y = (- 2)² + 1 = 4 + 1 = 5

Then A = (- 2, 5 )

0 is its x and y coordinate