How do you write a quadratic function in vertex form whose graph has the vertex (0,0) and point (2,4)?

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Answer 1 · 2017-03-25T16:50:19

The vertex form of a quadratic function is:

#y = a(x-h)^2+k#

Given the vertex is at #(0,0)#, then #h = 0# and #k=0#:

#y = a(x-0)^2+0#

You can find the value of "a" using the point #(2,4)#

#4 = a(2-0)^2+0#

#4 = 4a#

#a = 1#

The vertex form of the function is:

#y = 1(x-0)^2+0#

This simplifies to:

#y = x^2#