MATH SOLVE

5 months ago

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

Accepted Solution

A:

Answer:vertically stretched by a factor of 2 and moved up 5 unitsStep-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)+5m(x)=x^2+5 Now there is another transformation. f(x)=x^2a*f(x) means it is either being vertically stretched or compressed. Β 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+5means the parent function has been vertically stretched by a factor of 2 and moved up 5 units