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

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=

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=

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

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

Graph C represents the same.

9) The given equation is :y=3 Its vertex is (0,-4)

THis graph is B .

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: