💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 25 Easy Difficulty

Match the equation with its graph (labeled I-VIII). Give reasons for your choice.

$ y = 2x^2 + z^2 $




You must be signed in to discuss.

Video Transcript

okay to think about what this looks like. All you gotta do is let some variable B. Zero. So I'm going to first let X be zero. So I'm in the Y. Z. Plane. Can the Y. Z plane is the plane that the screen of your computer is in? So that's why equals E. Squared. That's a parabola. Opens up on the Y axis um and it uses it on the opens up on the positive Y axis because these squared is always positive. So it looks like this And then if I let ZB0. Now, now I'm in the uh sorry, I was in the Y. Z. Plane, I guess you can't tell what I meant there which way I was drawing it. Okay. Hillary. Try again because it should look symmetric about the Y axis there. Okay, now I'm when Z is zero, That was this one the Green one. Okay, now I'm in blue now I'm letting that was where X was zero. Now I'm letting Zb zero and I'm drawing Y equals two X squared. So I'm in the UAE explain which is like the floor here. Okay. I also have a proble, it's a little bit skinnier than the one I drew before. All right, so I have a parable Lloyd opening on the positive Y axis and it's taller in the X. Uh in the Z direction than it is in the X direction. Okay, hope that matches with one of them