Identify the axis of symmetry and vertex of f(x) = –x^ 2 –2x–1.

axis of symmetry: x = – 1; vertex: ( 1, 0)
axis of symmetry: x = 1; vertex: (1, 0)
axis of symmetry: x = – 1; vertex: (– 1, 0)
axis of symmetry: x = 1; vertex: (– 1, –1)

Part A) The vertex is the point

Part B) The axis of symmetry is

Step-by-step explanation:

Part 1)

we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

so

-----> equation of the axis of symmetry

In this problem we have    

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

-----> equation in vertex form

The vertex of the parabola is the point

Is a vertical parabola open downward

The axis of symmetry is equal to

see the attached figure to better understand the problem

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

24/56=hx^7

step-by-step explanation: