Question

f(x)=2x^2 +5 what is transformation 1: and what is transformation 2:

Answer 1

Question:

Describe the two transformations that were performed to go from

$f(x)=x^2$

to

$f(x)=2x^2+5$

Answer:

First, lets perform an horizontal shrink by a factor of 2 (Multiply the whole function by 2)

$f(x)=x^2\rightarrow f(x)=2x^2$

And then, let's move the function up by 5 units (add 5 to the whole function)

$f(x)=2x^2\rightarrow f(x)=2x^2+5$

Therefore, transformation one is an horizontal shrink by 2, and transformation two is a vertical displacement of +5 units.