Question

From the equation, find the axis of symmetry of the parabola.

y = x^2+ 3x + 1

A. X= 3/2
B. Y= 1
C. X=3
D. X= -3/2

Answer 1

is D

Explanation:

Answer 2

D

Explanation:

Quadratic has a general form of:

`ax^2 + bx + c = 0`

The quadratic given here is:

`y = x^2 + 3x + 1`

Matching it with the general form, we can see that:

a = 1 [coefficient of x^2]

b = 3

c = 1

Now, if we look at the formula for axis of symmetry, we can easily solve this out. The axis of symmetry is given by:

Axis of Symmetry is
`x=-(b)/(2a)`

We know a = 1 and b = 3, so we have:

`x=-(b)/(2a)\\x=-(3)/(2(1))\\x=-(3)/(2)`

Hence,

D is the correct answer.