Equation of the parabola is [tex]y = \frac{3}{7}(x+1)^2 + 14[/tex]
Given that:
Vertex of parabola (h , k) = (-1 , 14)
Point passes through (x , y) = (6 , 35)
Find:
Equation of the parabola
Computation:
Using formula;
y = a(x - h)² + k
By putting values,
35 = a(6 + 1)² + 14
35 - 14 = a(7)²
21 = a(49)
a = 21 / 49
a = 3/7
So,
[tex]y = a(x - h)^2 + k\\\\y = \frac{3}{7}(x + 1)^2 + 14[/tex]
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