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
[tex]y=a(x-h)^2+k[/tex] .... (1)
Where, (h,k) is vertex and x=h is the axis of symmetry.
The given function is
[tex]f(x)=-2(x+3)^2-5[/tex] .... (2)
From (1) and (2), we get
[tex]a=-2,h=-3,k=-5[/tex]
The axis of symmetry is
[tex]x=h[/tex]
Substitute h=-3 in the above equation.
[tex]x=-3[/tex]
Therefore the axis of symmetry for the function f(x) is x=-3.
