Compare each given function to its parent function circling

Compare each given function to its parent function, circling all appropriate descriptions if any. f(x) = -5 tan x + 2 is a shift upward 2 units shift left 2 units stretch vertically by 1/5 shift right 2 unit shift left 2 units stretch vertically by 5 reflection in the y-axis r(t) = 4 sin (t + 1) is a reflection in y = 4 shift upwards 1 unit stretch vertically by 1/4 shift right 1 unit stretch horizontally by 4 shift right 4 units.

Solution

4. f(x)= -5tanx +2

The parent function is f(x) = tanx

Now we have added 2 in the function which meanx the parent function will shift 2 units upward. Then 5 is multiplied with tanx which means the parent functions streach vertically by 5 units and then multiplied by negative means that it reflect about the x axis.

Therefore from the given options below are the aplicable one:-

shift 2 units upward.

streach vertically by 5 units

5. r(t)= 4 sin(t+1)

the parent function is r(t) = sinx

we have added 1 with t which means the graph gets shift 1 unit to right.

4 is multiplied which means graph is then streach verically by 4 units.

Therefore from the given options below is the aplicable one

shift right 1 unit