Determine the axis of symmetry for the function f(x)= -2(x + 3)2 - 5.

-2.125

Step-by-step explanation:

1. simplify the function

-2(x+3)2-5

(-2x-6)2-5

(-4x-12)-5

-4x-17

2. formula for axis of symmetry: -b/2a

a=-4 b=-17

-(-17)/2(-4)=17/-8=-2.125

The axis of symmetry for the function f(x) is x=-3.

Step-by-step explanation:

The vertex form of a quadratic function is

                .... (1)

Where, (h,k) is vertex and x=h is the axis of symmetry.

The given function is

          .... (2)

From (1) and (2), we get

The axis of symmetry is

Substitute h=-3 in the above equation.

Therefore the axis of symmetry for the function f(x) is x=-3.

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step-by-step explanation: