Question

Using the completing-the-square method, find the vertex of the function f(x) = –2x^2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point

Answer 1

group the x terms together

f(x) = (-2x^2 +12x)+ 5

now remove the common factor of -2

\[f(x) = -2(x^2 - 6x) + 5\]

what is needed inside the brackets to complete the square

Answer 2

the vertex is a maximum since the coefficient of the leading term is -2

Answer 3

Maximum at (-3,5)
Minimum at (-3,5)
Maximum at (3,23)
Minimum at (3,23)

those are my options btw

Answer 4

@ganeshie8 @Michele_Laino

Answer 5

@Crissy15

Answer 6

so what do you need to add inside the brackets to get a perfect square..?

Answer 7

@mathway @mathgenious

Answer 8

i really have no idea what im doing @campbell_st

Answer 9

Or you can do this.