Answer:
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 = ± [tex]\sqrt{4}[/tex] = ± 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 )
