The vertex of this parabola is at (-3,2). which of the following could be its equation?

B

Step-by-step explanation:

Notice that the vertex is 2 units above the x-axis.  The equation of this parabola must end in +2 to reflect this fact.  Thus, we narrow down our answer choices to B and C.

(x + 3) in choice B is correct, since the vertex is to the left of the y-axis.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: