Question 337643
Use the vertex form,
{{{y=a(x-h)^2+k}}}
{{{y=a(x+7)^2+45}}}
Use the y-intercept to solve for {{{a}}}.
{{{-200=a(0+7)^2+45}}}
{{{49a+45=-200}}}
{{{49a=-245}}}
{{{a=-5}}}
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{{{y=-5(x+7)^2+45=0}}}
{{{5(x+7)^2=45}}}
{{{(x+7)^2=9}}}
{{{x+7=0 +- 3}}}
{{{x=-7 +- 3}}}
{{{highlight(x=-10)}}} and {{{highlight(x=-4)}}}
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{{{drawing(300,300,-12,2,-50,50, circle(-7,45,0.2),circle(-10,0,.3),circle(-4,0,0.3),grid(1),
graph(300,300,-12,2,-50,50,-5(x+7)^2+45))}}}