Question

Matching for questions 6-9, match the equation to its corresponding graph.

6) y=-2x^2+2

7) y=-x^2

8) y=2x^2

9) y=3x^2-4

Answer 1

A.
D.
C.
B.
Are the answers I believe!

Answer 2

Equation of a parabola in vertex form is y=(x-h)^2+k.

where (h,k) is the vertex.

6) The given equation is y=
`-2x^(2)+2.`

Comparing with vertex form of parabola equation we have:

This has a vertex of (0,2)

Graph A has the same vertex (0,2)

7) Given equation y=
`-x^(2)`

As there is a - sign so parabola will open down and vertex is (0,0)

Graph D is the right graph.

8) Given equation is : y=2
`x^(2).`

The vertex is (0,0) and parabola will open up.

Graph C represents the same.

9) The given equation is :y=3
`x^(2).-4` Its vertex is (0,-4)

THis graph is B .