Question 1060769
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A parabolic arch supports a bridge. The arch is 200 m wide at its base and 4 m tall in the middle.

a) Show this information on a graph by placing the vertex on the y-axis so that the x-axis represents the base of the arch
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Vertex (0,4);
Horizontal Axis Intercepts  (0,-100) and (0,100).



The vertex will indicate a standard form like  {{{y=kx^2+4}}}; 
and the zeros indicate something like  {{{y=k(x+100)(x-100)}}}.


The two expressions for y should be equal.
{{{kx^2+4=k(x+100)(x-100)}}}
{{{kx^2+4=kx^2-10000k}}}
{{{10000k=-4}}}
{{{k=-4/10000}}}
{{{highlight_green(k=-1/2500)}}}


You may choose possible equations as {{{system(y=-(1/2500)x^2+4, OR, y=-(1/2500)(x+100)(x-100),OR, AsGeneralFormFullyMultiplied)}}}