Write the equation in vertex form given the vertex (4, 7) and passing through the point (0, 10).

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  

step-by-step explanation:

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)