Parabola

• Nov 10th 2008, 08:35 PM
magentarita
Parabola
Draw y = (x^2/2) - 3x + 4 on the interval [0, 6].

What are the coordinates of the turning point of the image of the graph of the given parabola after a reflection in the line y = 4?

I graphed the function and found the point to be (3, 4).

Is this right? If not, can you explain why?
• Nov 10th 2008, 09:05 PM
mmm4444bot
No, that is not correct.

Since the coordinates of the vertex point are (3, -1/2) before reflecting, this point is located 4.5 units below the line y = 4.

Therefore, after reflecting, the vertex point must be located 4.5 units above the line y = 4.

Did you draw a picture of the reflected graph?
• Nov 11th 2008, 09:07 PM
magentarita
I see..
Quote:

Originally Posted by mmm4444bot
No, that is not correct.

Since the coordinates of the vertex point are (3, -1/2) before reflecting, this point is located 4.5 units below the line y = 4.

Therefore, after reflecting, the vertex point must be located 4.5 units above the line y = 4.

Did you draw a picture of the reflected graph?

The point would be (3, 17/2), right?
• Nov 11th 2008, 10:56 PM
mmm4444bot
Yes, that is correct.

Any time you reflect an image across a line, all of the points on the reflected image must be the same distance from the axis of reflection as their corresponding points on the original image are.

~ Mark (Hi)
• Nov 12th 2008, 05:09 AM
ShaiDuvdevani
Will this help?
You can draw it using "Function Drawing" (:
[I'd be more than happy to see if that worked out]

• Nov 12th 2008, 04:38 PM
magentarita
ok..........
Quote:

Originally Posted by mmm4444bot
Yes, that is correct.

Any time you reflect an image across a line, all of the points on the reflected image must be the same distance from the axis of reflection as their corresponding points on the original image are.

~ Mark (Hi)

Thank you very much.
• Nov 12th 2008, 04:38 PM
magentarita
thanks........
Quote:

Originally Posted by ShaiDuvdevani
You can draw it using "Function Drawing" (:
[I'd be more than happy to see if that worked out]