Question

Which graph shows the quadratic function y = 3x^2 + 12x + 10?

Answer 1

The graph of the function is attached.

Answer 2

Answer with explanation:

→The quadratic function is

y = 3 x² + 12 x + 10

`y=3(x^2+4 x+(10)/(3))\\\\y=3[(x+2)^2-4+(10)/(3)]\\\\y=3[(x+2)^2-(2)/(3)]\\\\y+2=3(x+2)^2`

→Vertex of the parabola=(-2,-2),in third Quadrant.

→Drawing the Parabola,which will open upwards ,that is along positive y axis.

→ Line, x= -2 , is the line of symmetry of Quadratic function.

As,the function is Quadratic, it has either two real root or two imaginary.

But, it has two real root, which are , x=-2.816,-1.184, because,

Discriminant >0.

D=12²-4×3×10

=144 -120

D=24