Question 1141674
Imagine a parabola with vertex at (0,0) and points  (38, 42) and (-38, 42).  Can you work with that, find the equation, and go all the way to the solution?







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{{{y-0=a(x-0)^2}}}
{{{y=ax^2}}}
{{{a=y/x^2}}}
{{{a=42/(38)^2}}}
{{{a=(2*3*7)/(2*19*2*19)}}}
{{{a=21/(2*19^2)}}}
{{{a=21/722}}}
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{{{y=(21/722)x^2}}}
{{{highlight_green((722/21)y=x^2)}}}
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If p is distance from vertex to focus, then  {{{4p=722/21}}};
{{{p=722/(4*21)}}}
{{{p=361/21}}}
{{{highlight(p=17&4/21)}}}
OR
{{{highlight(p=17.19*inches)}}}