Question 1137546
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The axis of symmetry is x=1, and one root is x = -1; therefore the other root is 3.  So the equation still in factored form is<br>
{{{y = a(x+1)(x-3)}}}<br>
To find the value of a, use the fact that the minimum value is at (1,-4):<br>
{{{-4 = a(1+1)(1-3) = -4a}}}
{{{a = 1}}}<br>
So the equation is<br>
{{{y = (x+1)(x-3)}}}
{{{y = x^2-2x-3}}}<br>
Then to answer the question that is asked, set x=0 to find that the y-intercept is (0,-3).<br>
{{{graph(400,400,-4,4,-10,10,(x+1)(x-3))}}}