Answer :
An equation for a parabola with x-intercept (-3,0) and (2,0) which pass through the point (1,-20) is "[tex]5x^2+5x-30[/tex]".
parabola is a major conic section that has wide applications in science and technology. know according to the condition by following intercepts we begin with an equation
[tex]y=a(x+3)(x-2)[/tex]
where a is any number that restricts the parabola to pass through (1,-20)
know we have to choose a for what the above equation got its require achievements. substitute (1,-20) in [tex]y=a(x+3)(x-2)[/tex] we get
[tex]-20=a(1+3)(1-2)\\\\-20=a(4)(-1)\\\\a=5[/tex]
substituting a back in the first equation we get the equation of the parabola. so, the parabola has an equation y= f(x)=[tex]5x^2+5x-30[/tex].
to learn more about the conic sections, click on brainly.com/question/28853311.
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