Exponential and Logarithmic Functions Assignment Solution

Exponential and Logarithmic Functions Assignment

Question one

The blue line shows a reflection of the parent function

Y = Fx

(y-d)/a = f (x-c)/b

A, vertical multiplier, b, horizontal multiplier,d n c vertical and horizontal shift

Y= (a * (x-c)/b) + d

Y =1* (X—3)+6

Y=6x+ 18

Question two

The blue graph indicates a downward vertical shift

Y = Fx

Has shifted 7 steps down thus

A, vertical multiplier, b, horizontal multiplier,d n c vertical and horizontal shift

Y= (a * (x-c)/b) + d

Y =(1* (X – 7) +7

Y⁼1X + 7

Question three

The blue line indicates an upward horizontal shift

Y = Fx

Has shifted 4 steps west thus

Y=f(x + 3)

A, vertical multiplier, b, horizontal multiplier,d n c vertical and horizontal shift

Y= (a * (x-c)/b) + d

Y =2* (X- 1)+5

Y=2x+ 6

Question four

The blue line indicate an vertical upward shift

Y = Fx

Has shifted 7 steps upwards thus

Y=fx + 1

A, vertical multiplier, b, horizontal multiplier,d n c vertical and horizontal shift

Y= (a * (x-c)/b) + d

Y =1* (X-1)+1

Y=x+ 1

Question 5

The blue line indicates a reflection of the parent function

Y = Fx

Has shifted 4.5 steps down thus

Y=fx – 5

A, vertical multiplier, b, horizontal multiplier,d n c vertical and horizontal shift

Y= (a * (x-c)/b) + d

Y =4.5* (X+1)+1

Y=4.5x+ 4.5

Question 5

The blue line indicates an upward compression of the parent function

Y = Fx

Has shifted 5 steps upward thus

Y=f(x + 7)

A, vertical multiplier, b, horizontal multiplier,d n c vertical and horizontal shift

Y= (a * (x-c)/b) + d

Y =5* (X-5)-5+-5

Y=5x-5