(03.06 lc)
the functions f(x) = (x+4)2+2 and g(x) = (x - 2)2-2 have been rewritten using the completing the
square method. is the vertex for each function a minimum or a maximum? explain your reasoning for
each function (10 points)
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both are a minimum

Step-by-step explanation:

Given a quadratic function in vertex form

y = a(x - h)² + k

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here

f(x) = (x + 4)² + 2 ← with a = 1 > 0 ⇒ minimum vertex

g(x) = (x - 2)² - 2 ← with a = 1 > 0 ⇒ minimum vertex

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

answer: do we write it

step-by-step explanation: