Question

Y = x² + 6x + 3

What is the vertex?

What is the y-intercept?

Does the parabola open up or down?

Answer 1

Vertex is at
`\left(-3,-6\right)`

y-intercept is 3.

The parabola opens up.

Explanation:

The graph of the equation is hereby attached in the answer area.

Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(
`x =-3`), is shown with the dotted line in the graph attached.

y-intercept is defined as the value of y where the graph crosses the y-axis. In other words, when
`x=0`. Putting

And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of
`x` in the given equation
`y =x^(2) + 6x + 3`. Here, co-efficient of

So, vertex is at
`\left(-3,-6\right)`

y-intercept is 3.

The parabola opens up.