Which of the following is the correct equation for this function? a. y= (x+4)(x+2) b. y=x^2+ 3x – 2 c. y+ 2 = – 2(x+3)^2 d. y+ 2 = 2(x+3)^2

The equation which is correct for the given function is:

           D.  

By looking at the graph we observe that the graph of the function passes through the point (-4,0) , (-2,0)  , (-3,-2)

A)

when x= -3 we have:

Hence, option: A is incorrect.

B)

when x= -2 we have:

Hence, option: B is incorrect.

C)

when x= -2 we have:

Hence, option: C is incorrect.

D)

We see that the graph of this equation matches the given graph of the function.

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

c

step-by-step explanation: