. Determine the equation of a quadratic function with:...

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# . Determine the equation of a quadratic function with:...

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<p><span class="eqneditor-formula" data-value="-\frac{4}{15}x^2+\frac{16}{15}x+\frac{16}{5}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1.190108em;vertical-align:-.345em;"></span><span class="mord">s</span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.845108em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span><span class="mord mtight">s</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span></span></span></span></span><span class="vlist-s">s</span></span><span class="vlist-r"><span class="vlist" style="height:.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.8141079999999999em;"><span style="top:-3.063em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">s</span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1.190108em;vertical-align:-.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.845108em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span><span class="mord mtight">s</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span><span class="mord mtight">s</span></span></span></span></span><span class="vlist-s">s</span></span><span class="vlist-r"><span class="vlist" style="height:.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1.190108em;vertical-align:-.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.845108em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span><span class="mord mtight">s</span></span></span></span></span><span class="vlist-s">s</span></span><span class="vlist-r"><span class="vlist" style="height:.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p>sec</p><p><span class="eqneditor-formula" data-value="-\frac{9}{7}x^2-\frac{72}{7}-9"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1.190108em;vertical-align:-.345em;"></span><span class="mord">s</span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.845108em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span></span></span></span></span><span class="vlist-s">s</span></span><span class="vlist-r"><span class="vlist" style="height:.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.8141079999999999em;"><span style="top:-3.063em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">s</span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1.190108em;vertical-align:-.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.845108em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span><span class="mord mtight">s</span></span></span></span></span><span class="vlist-s">s</span></span><span class="vlist-r"><span class="vlist" style="height:.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span></span></span></span></span></p><p>sec</p><p><span class="eqneditor-formula" data-value="3x^2-18x+6"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.897438em;vertical-align:-.08333em;"></span><span class="mord">s</span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.8141079999999999em;"><span style="top:-3.063em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">s</span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span></span></span></span></span></p>

## Step-by-step explanation

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