Match each function formula with the corresponding transformation of the parent function y=-x2-1. reflected across the y-axis translated right by 1 unit translated down by 1 unit translated up by 1 unit reflected across the x-axis translated left by 1 unit 1. y=-x2-1 2. y=-(x - 1)2 - 1 3. y= x2 +1 4. y=-x2 5. y=-(x+ 1)2 - 1 6. y=-x2 - 2

Since, when a function f(x) is reflected across x-axis then resultant function is -f(x), and reflected across y-axis then resultant function is f(-x),

Also, In translation of f(x),

If the transformed function is,

g(x) = f(x+a)

If a is positive then function is shifted a unit left,

If a is negative then function is shifted a unit right,

While, if transformed function is,

g(x) = f(x) + a

If a is positive then function is shifted a unit up,

If a is negative then function is shifted a unit right,

Here, the given parent function is,

Hence, by the above explanation we can match the unction formula with the corresponding transformation, shown below,

1.  : Reflected across the y-axis

2.  : Translated right by 1 unit

3. : Reflected across the x-axis

4.  : Translated up by 1 unit

5.  : Translated left by 1 unit

6.  : Translated down by 1 unit

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

step-by-step explanation: 4 cause 2+2=4