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Rainbow [258]
3 years ago
5

Axis of symmetry of f(x)=(x+3)^2-8

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

<u>ANSWER</u>

x =  - 3

<u>EXPLANATION</u>

When a quadratic equation is in the vertex form,

f(x) = a {(x - h)}^{2}  + k

the equation of axis of symmetry is simply

x = h

The given quadratic equation is

f(x) =  {(x + 3)}^{2}  - 8

We can rewrite this as

f(x) =  {(x  -  -  3)}^{2}  - 8

We now compare to

f(x) = a {(x - h)}^{2}  + k

We have

h =  - 3 \:  \:  \: and \:  \: k =  - 8

Therefore equation of axis of symmetry is:

x =  - 3

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