Question

Determine the type and key parts of the graph of the equation

Answer 1

First equation:

`y=\mleft(x+1\mright)^2`

Since it is of the form

`(x-h)^2=4a(y-k)`

Hence, it is a parabola and it is an open upward parabola.

The vertex of the given equation is, (-1, 0).

Second equation:

`y+3=4\mleft(x+1\mright)^2`

Since it is of the form

`(x-h)^2=4a(y-k)`

Hence, it is a parabola and it is an open upward parabola.

The vertex of the this equation is, (-1, -3).