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