Answer:
m = ± 5
Step-by-step explanation:
Given
4² + 2² - (- 3²) = m² - (- 1²) + ()² ← evaluate exponents
noting that - 3² = - 9 and - 1² = - 1
16 + 4 - (- 9) = m² - (- 1) + 3, that is
20 + 9 = m² + 1 + 3
29 = m² + 4 ( subtract 4 from both sides )
25 = m² ( take the square root of both sides )
m = ± 5
The equation of parabola is
For point (-1,-9), equation of parabola is
For point (1,7), equation of parabola is
For point (-6,-14), equation of parabola is
So we have three equations , which are
Subtracting first two equation will give
Subtracting second and third equation gives
Substituting 8 for b, we will get
back substituting 8 for b and 1 for a, we will get
So we have
Therefore required equation is