Question 1180503


{{{y = a(x-5)(x+3) }}} passes through the point ({{{1}}}, {{{32}}}).

substitute coordinates of the point

{{{32 = a(1-5)(1+3) }}}

{{{32 = a(-4)(4) }}}

{{{32 = -16a}}}

{{{a=-2}}}


{{{y = -2(x-5)(x+3) }}}....
to get y-intercept, plug in {{{0}}} for {{{x}}}

{{{y = -2(0-5)(0+3) }}}

{{{y = 30 }}}


y-intercept is at ({{{0}}},{{{30}}})



{{{ graph( 600, 600, -10, 10, -10, 35, -2(x-5)(x+3)) }}}




State the value of a and the y-intercept of this function.