Which equation has a graph that is a parabola with a vertex at (-2,0)

Step-by-step explanation:

Given the vertex of parabola at (-2,0).

We know that equation of parabola along x- axis when vertex  at (h,k)

Given vertex (-2,0)

h= -2 and k=0

It means parabola along x- axis and passing through the point (-2,0).

The vertex of parabola is the highest or lowest point

Or

The vertex of parabola is the point of maximum or minimum.

The vertex is the point of where parabola intersect the axis.

We are given vertex (-2,0)

It means parabola intersect the x- axis at point (-2,0).

Put the value of vertex in the equation of parabola when its axis parallel to  x- axis

Equation of parabola

Put h=-2 and k=0 in the equation of parabola

Then we get the equation of parabola

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: