Question

What is the vertex for y=3/4x^2?

Answer 1

Are you allowed drawing the graph of the equation?

Answer 2

yes

Answer 3

Have you done so yet? I can't remember how to do this....

Answer 4

y=3/4x^2 = (3/4)(x-0)+0
or the vertex is at (0,0)

Answer 5

Develop an intuition for the problem: you can tell the vertex is at (0, 0) in less than a second.

Answer 6

Yes, (3/4)x^2 is a multiple of y=x^2, so the vertex does not change.

Answer 7

so vertex would be y= ax^
vertex =a ?

Answer 8

y= ax^2

Answer 9

The "a" will magnify the height of the parabola, but the vertex will remain at (0,0).
Think of the vertex equation:
y=a(x-h)+k
If h and k are zero, then other values of a will not change the vertex, which is at (h,k).

Answer 10

ahh ok

Answer 11

so is just like the vertex of a triangle

kind of :P