A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
HELP!!! How would you describe differences between the graphs of f(x)=2x^2 and g(x) = 2x^2?
http://grabilla.com/05715d66ebcd805dc415283a48416f3f051a4.html
anonymous
 one year ago
HELP!!! How would you describe differences between the graphs of f(x)=2x^2 and g(x) = 2x^2? http://grabilla.com/05715d66ebcd805dc415283a48416f3f051a4.html

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Do you know what the graph of y = x^2 looks like?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, a curve going positive into the yaxis

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Right. It is a parabola opening upwardly with vertex at (0, 0). Now think what multiplying the right side by 2 will do. y = 2x^2. It simply makes every ycoordinate twice as big as the corresponding coordinates in y = x^2, so it goes up faster and is a narrower parabola then the parabola of y = x^2. Ok so far?

marihelenh
 one year ago
Best ResponseYou've already chosen the best response.0One would open up and the other down.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437449804090:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437449855179:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And how would i explain the opposite?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now for y = 2x^2, every ycoordinate compared to the corresponding ycoordinate of y = 2x^2 is just the negative of it.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437449922369:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2That means y = 2x^2 is a mirror image of y = 2x^2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So a reflection over y=x?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No, not y = x, and not yaxis. I'll show you in the figure below.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437450018634:dw