Determine the axis of symmetry for the function f(x)= -2(x + 3)2 - 5.
2 answers:
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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We have that
<span>f(x)=3x
g(x)=x</span>²<span>+5
</span>g(x)/f(x)=[x²+5]/[3x]
<span>that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
</span>
the domain is the interval (-∞,0) U (0,∞)
using a graph tool
see the attached figure
<span>f(x)=3x
g(x)=x</span>²<span>+5
</span>g(x)/f(x)=[x²+5]/[3x]
<span>that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
</span>
the domain is the interval (-∞,0) U (0,∞)
using a graph tool
see the attached figure