What is the vertex of
f(x) = 2(x - 5)2 + 12

The vertex is (5, 12)

Step-by-step explanation:

The vertex, from vertex form, is (h,k).

Vertex form is a(x - h)² + k

= 2(x - 5)² + 12

So h = 5, k = 12

The vertex is (5, 12).

I hope this helped!

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

the answer is b.6

step-by-step explanation: