Whats the answer

Question

Given the parent function and a description of the transformation, write the equation of the transformed function, f(x)

1. Parent function: Absolute value. 

Transformations: vertical shift up 5, horizontal shift right 3

New function: f(x)=_____f(x-3)+5__________________

1. Parent function: Linear.

Transformations: vertical stretch/compression by 2/5 

New function: f(x)=____________________________

1. Parent function: Logarithmic. 

Transformations: flipped over the x-axis, vertical shift down 2

New function: f(x)=____________________________

1. Parent function: Exponential. 

Transformations: vertical stretch by 8

New function: f(x)=___________________________

1. Parent function: Quadratic. 

Transformations: vertical stretch by 5, horizontal shift left 8

New function: f(x)=___________________________

Answer 1

parent function: f(x) =|x| transformed function right 3, up 5: f(x) = |x-3| +5

parent function: f(x) =ax compressed by 2/5: f(x)=2ax/5

parent function f(x)=log|x| new function reflect over x axis then down 2: f(x)=- log|x| -2

parent function f(x) = ab^x, stretched function by factor of 8: f(x)=8ab^x

parent function f(x)=a(x^2) stretched function by factor of 5, left 8: f(x)=5a(x+8)^2