what test to use tell significant difference of two quadratic regression curves

#1
Hello

I have two curves of quadratic regression models in a x-y plot 1. y=a1x^2+b1x+c1 Y= -0.51X2-0.88X+3.21, R2: 0.12, coefficient of the quadratic term: p-value = 0.001

y=a2x^2+b2x+c2 Y= -0.17X2-0.13X+3.41, R2: 0.99, coefficient of the quadratic term: p-value = 0.001
I want to know if curve 1 and 2 are significantly different. The null hypothesis is a1=a2 and b1=b2 and c1=c2

Please kindly advise what test to use to test the hypothesis Thank you

Elaine