For each of the following equations.

Find the coordinates of the vertex of the curve it describes.

Find the x - intercepts.

Find the y - intercept.

Find the equation of the line of symmetry.

Use all this information to sketch the graph of the function.

y=8-2x2

See below in bold.

Step-by-step explanation:

y = 8 - 2x^2

This is a parabola which because the coefficient of x^2 is negative opens downwards.

It is symmetrical about the y axis and the vertex is (0, 8).

To find the x - intercepts put 8 - 2x^2 = 0 and solve for x:

2x^2 = 8

x^2 = 4

x = + / - 2.

The x-intercepts are (-2,0) and (2, 0).

The y - intercept = vertex = (0, 8).

The equation of the line of symmetry is the y-axis = x = 0.

Axis of symmetry x=0

Vertex (0,8)

x-intercepts (2,0) (-2,0)

y-intercept (0,8)