Question

Which graph correctly solves the system of equations below?

y = x2 + 3x + 4
y = x2 + 2x + 1

Answer 1

The first option is

Answer 2

Graph I

Explanation:

Given are two quadratic equations as

`y = x^2 + 3x + 4:</p><p>y = x^2 + 2x + 1`

WE are to find the point of intersection to solve this

Since leading coefficients are positive, both parabolas will be open up.

Hence the solutions cannotbe C or D

ONly out of A and B the solutions will be there

Let us find the vertex

I parabola:

`y=(x+3/2)^2+7/4`

Vertex is (-3/2,7/4)

II parabola

`y=(x+1)^2`

Vertex =(-1,0)

Only I graph solves the system of equations

has vertex as