Put the quadratic into vertex form and state the coordinates of the vertex

f(x) = (x+6)^2 -25

vertex is (-6, -25)

Step-by-step explanation: complete the square, than use the binomial formula, then simplify and expand

equation is y = (x+1)(x+11)

vertex: (-1,-11)

Step-by-step explanation:

y = x^2 + 12x + 11. The last value, the value 11 is how we can determine our values in the equation. First we need to find the factors of positive 11 which are: -11 * -1 and 1*11. now we will look at the second portion the 12x. As we can see the value is positive. Now we will add the two factors together and see which one gives us positive 12. The factors 1 and 11 make positive 12. Now we simply just need to add those values to x. When this is factored down or in other words vertex form, the equation is y = (x+1)(x+11). The vertex is what value would make the equation equal 0.  Since -1 + 1 equals 0 then that is one of the vertex and since -11 + 11 equal 0 that also makes that a vertex. This makes the vertex -1,-11.

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24