Which statements describe one of the transformations performed on f(x) = x^2
to create g(x) = 2x^2 +5?

vertically stretched by a factor of 2 and moved up 5 units

Step-by-step explanation:

f(x)=x^2

f(x+5) means it moved left 5 units.

f(x-5) means it moved right 5 units.

f(x)+5 means it moved up 5 units.

f(x)-5 means it moved down 5 units.

One of the transformations we have is that it moved up 5 units.

m(x)=f(x)+5

m(x)=x^2+5

Now there is another transformation.

f(x)=x^2

a*f(x) means it is either being vertically stretched or compressed.  a also tells if we have a reflection (if a is negative) or not (if a is positive).

n(x)=2x^2 means it has been vertically stretched by a factor of 2.

Let's put it altogether.

g(x)=2x^2+5

means the parent function has been vertically stretched by a factor of 2 and moved up 5 units

step-by-step explanation: