What is the vertex form of f(x) where the graph of f(x) is the parabola with vertex (- 4, - 6) and solution point (1, - 81)

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                       f(x) = a(x - h)² + k

the vertex is (-4, -6)  ⇒   h = -4,  k = -6

so:

     f(x) = a(x - (-4))² + (-6)

    f(x) = a(x + 4)² - 6

The parabola goes through the point (1, -81) ⇒   x=1,  f(x)=-81

-81 = a(1 + 4)²  - 6

-81 = a(5)² - 6

+6           +6

-75  = 25a

÷25     ÷25

a = -3

Therefore the equation of the parabola in vertex form:

                               f(x) = -3(x + 4)² - 6

answer: i guess 105 degrees?

step-by-step explanation:

70

step-by-step explanation: