The graph of which function has an axis of symmetry at x = 3? f(x) = x2 3x 1 or f(x) = x2 – 3x – 3 or f(x) = x2 6x 3 or f(x) = x
2 – 6x – 1
2 answers:
For
ax^2+bx+c
the axis of symmetry is -b/2a
first one
-3/2=3, nope
2nd one
3/2=3? nope
3rd one
-6/2=3? nope
fourth
6/2=3? yes
answer is last one or
f(x)=x^2-6x-1
Answer:
Option 4th is correct

Step-by-step explanation:
A quadratic equation is in the form of:
.....[1]; then the axis of symmetry is given by:

As per the statement:
To find :
The graph of which function has an axis of symmetry at x = 3
From the given options:
Option 4th is the graph of a function which has axis of symmetry at x = 3
Consider a function:

On comparing with [1] we have;
a = 1 and b = -6
then;

⇒
Therefore, The graph of which function has an axis of symmetry at x = 3 is, 
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