Finding transformations and base function of quadratic equation.

[calcdummy]

Homework Statement

For each of the following, identify the base function and describe the transformation(s):
f(x)=-4(3x)^2 + 5

Homework Equations

f(x) = -4(3x)^2 + 5

The Attempt at a Solution

Alright so my attempt at figuring out the requested answers are:

Base function = x^2
- has been shifted up 5 units
- has been vertically stretched by 3
- reflected in the x-axis by -4

At this moment I'm really confused on my answer. I have a feeling that there is more to it and that I got a couple of things wrong but I just can't figure out what... could someone please help me out?

 

[LCKurtz]

Homework Statement

For each of the following, identify the base function and describe the transformation(s):
f(x)=-4(3x)^2 + 5

Homework Equations

f(x) = -4(3x)^2 + 5

The Attempt at a Solution

Alright so my attempt at figuring out the requested answers are:

Base function = x^2
- has been shifted up 5 units
- has been vertically stretched by 3
- reflected in the x-axis by -4

At this moment I'm really confused on my answer. I have a feeling that there is more to it and that I got a couple of things wrong but I just can't figure out what... could someone please help me out?

Order might make a difference. If you start on the "inside" the order would be:
vertically stretched by 3 (maybe you would say by 3²?)
reflected in the x-axis and vertically stretched by 4 (could be in either order)
shifted up 5 units.

 

[calcdummy]

Order might make a difference. If you start on the "inside" the order would be:
vertically stretched by 3 (maybe you would say by 3²?)
reflected in the x-axis and vertically stretched by 4 (could be in either order)
shifted up 5 units.

Yay, basically my answers are on point I just need to work on my arrangement in order for it to make better sense. I'll definitely work on that. Thank you for your time and help.

On a side note, do you know if it will be alright for me to make posts asking PF contributors to help me check my answers in the homework section or should I maintain to making posts only when I am in need of help?

 

[LCKurtz]

On a side note, do you know if it will be alright for me to make posts asking PF contributors to help me check my answers in the homework section or should I maintain to making posts only when I am in need of help?

People often ask for others to look over their work. I don't think there is any problem with that.