Fill in the blank:

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$, If k>0 then the graph is shifted ________ k.

Is the sentence true or false?

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$, the constant k, indicates a vertical shift.

Is the sentence true or false?

$y=\tan x$ is cosecant function.

Is the number sentence true or false?

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$, the coefficient $b$ is helpful in determining the period of the cosecant function.

Fill in the blank:

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$. If h<0 the graph is shifted to the __________ $h$.

Is the sentence true or false?

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$, value of a<1 indicates a deeper curve to the cosecant function.

Fill in the blank:

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$. If h>0 the graph is shifted to the __________ $h$.

Is the sentence true or false?

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$, $a>1$ gives a more linear look to the graph of the function.

Fill in the blank:

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$. The constant $h$ in the standard form of a cosecant function indicates a ________ shift.

Is the sentence true or false?

In the standard form of a cosecant function $y=a\csc\left(bx-h\right)+k$, If k<0 then the graph is shifted up k.