Question

What are the coordinates of the vertex of the quadratic function having a minimum value of –1 and roots located at (–3, 0) and (–5, 0)?

plz help I'm really lost!

Answer 1

The coordinates of the vertex will be (-4,-1)

Explanation:

Let's recall that the vertex is in the middle point of the roots of a quadratic function.

The root are (-3,0) and (-5,0) so the x-value of the vertex will be:

`x_(vertex)=(-5-(-3))/(2)-3`

`x_(vertex)=-1-3=-4`

The y-value of the vertex is given by the minimum value, that is -1

Therefore, the coordinates of the vertex will be (-4,-1)

I hope it hleps you!