anonymous
  • anonymous
HELP!!! How would you describe differences between the graphs of f(x)=2x^2 and g(x) = -2x^2? http://grabilla.com/05715-d66ebcd8-05dc-4152-83a4-8416f3f051a4.html
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathstudent55
  • mathstudent55
Do you know what the graph of y = x^2 looks like?
anonymous
  • anonymous
Yes, a curve going positive into the y-axis
mathstudent55
  • mathstudent55
Right. 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 y-coordinate 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?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

marihelenh
  • marihelenh
One would open up and the other down.
anonymous
  • anonymous
Yes, i get it
mathstudent55
  • mathstudent55
|dw:1437449804090:dw|
mathstudent55
  • mathstudent55
|dw:1437449855179:dw|
anonymous
  • anonymous
And how would i explain the opposite?
mathstudent55
  • mathstudent55
Now for y = -2x^2, every y-coordinate compared to the corresponding y-coordinate of y = 2x^2 is just the negative of it.
mathstudent55
  • mathstudent55
|dw:1437449922369:dw|
mathstudent55
  • mathstudent55
That means y = -2x^2 is a mirror image of y = 2x^2.
anonymous
  • anonymous
So a reflection over y=x?
anonymous
  • anonymous
y-axis*
mathstudent55
  • mathstudent55
No, not y = x, and not y-axis. I'll show you in the figure below.
mathstudent55
  • mathstudent55
|dw:1437450018634:dw|