Question

Given the function f(x)= -(x+1)^2+2. Identify the vertex and the axis of symmetry.Vertex is x = ( , )Axis of Symmetry is

Answer 1

To answer this question, we will use the following graph as reference:

From the graph, we get that the vertex of the given function is:

`(-1,2)\text{.}`

Now, recall that the symmetry axis of a vertical parabola has equation:

`x=k,`

where k is the x-entry of the vertex.

Therefore, the axis of symmetry is:

`x=-1.`

Answer:

Vertex:

`(-1,2)\text{.}`

Axis of symmetry:

`x=-1.`