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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

Respuesta :

Axis of symmetry x=0

Vertex (0,8)

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

y-intercept (0,8)

Answer:

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.

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