<ol class="i-list"><li><div class="list-item-paragraph">A curve \(C\) has equation \(y = ax^3 + bx^2 + cx + d\), where&nbsp;\(a\), \(b\), \(c\) and \(d\) are constants. The curve \(C\) intersects the \(y\)-axis at the point \((0, 7)\) and passes through the points \((-2, -11)\), \((1, 1)\) and \((3, 19)\). Find the values of \(a\), \(b\), \(c\) and \(d\).<span class="inline-marks">[4]</span></div></li><li><div class="list-item-paragraph">\(C\) first undergoes a reflection about the \(y\)-axis and subsequently a translation of \(1\) unit in the positive \(y\)-direction. Find the equation of the resulting curve.<span class="inline-marks">[2]</span></div></li></ol>

A curve \(C\) has equation \(y = ax^3 + bx^2 + cx + d\), where \(a\), \(b\), \(c\) and \(d\) are constants. The curve \(C\) intersects the \(y\)-axis at the point \((0, 7)\) and passes through the points \((-2, -11)\), \((1, 1)\) and \((3, 19)\). Find the values of \(a\), \(b\), \(c\) and \(d\).

\(C\) first undergoes a reflection about the \(y\)-axis and subsequently a translation of \(1\) unit in the positive \(y\)-direction. Find the equation of the resulting curve.

2024 MI PRU1 Q3

2024 MI PRU1 Q3