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marysya [2.9K]
3 years ago
13

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
Mathematics
2 answers:
Wittaler [7]3 years ago
6 0
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
Bumek [7]3 years ago
5 0

Answer:

Option 4th is correct

f(x) = x^2-6x-1

Step-by-step explanation:

A quadratic equation is in the form of: y=ax^2+bx+c.....[1]; then the axis of symmetry is given by:

x = \frac{-b}{2a}

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:

f(x) =x^2-6x-1

On comparing with [1] we have;

a = 1  and b = -6

then;

x = \frac{-(-6)}{2 \cdot 1}

⇒x = \frac{6}{2} =3

Therefore, The graph of which function has an axis of symmetry at x = 3 is, f(x) = x^2-6x-1

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