Answer:
f(x) = ³/₁₆
(x - 4)² + 7
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (4, 7) is
f(x) = a(x - 4)² + 7
passes through the point (0, 10) means if x=0 then f(x)=10
10 = a(0 - 4)² + 7
10 -7 = a(-4)² + 7 -7
3 = 16a
a = ³/₁₆
Therefore the equation of parabla is:
f(x) = ³/₁₆
(x - 4)² + 7
