Answer:
the vertex (-2, -1)
Step-by-step explanation:
y = 3x² + 12x + 11
Rewrite the equation in vertex form.
3(x + 2)² - 1
set y equal to the new right side
y = 3(x + 2)² - 1
Use the vertex form, y = a(x-h)² + k
a = 3
h = -2
k = -1
therefore,
The vertex form is: y = 3(x-2)^2 + 7 . The vertex is (2, 7)
Write the function: y = 3x^2 - 12x + 11 in vertex form
The vertex form of a quadratic equation is:
y = m(x - a)^2 + b where (a,b) is the vertex
For y = 3x^2 - 12x + 11
Solve for m
y = 3(x^2 - 4x) + 11
Complete the Square:
y = 3(x^2 - 4x + 4) + 11 - 4
y = 3(x - 2)^2 + 7
The vertex then is (2, 7)
Answer: 33 degrees
See paper attached. (:
9514 1404 393
24
The number of permutations of 4 items is 4! = 24.
math, maht, mtah, mtha, mhat, mhta,
amth, amht, atmh, athm, ahmt, ahtm,
tmah, tmha, tamh, tahm, thma, tham,
hmat, hmta, hamt, hatm, htma, htam
