Which values for h and k are used to write the function f(x) = x^2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
h=-6, k=-30

The vertex is (-6,-30).

The vertex is usually written as (h,k) in most American schools I think.[

So h=-6 and k=-30.

Step-by-step explanation:

The given is in standard form, , where ,, and .

There is a formula for computing the vertex while the given is in standard form which is:

.

So let's start with the x-coordinate there:

.

Now the y-coordinate of the vertex can be found by replacing your x's in:

with -6.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: