<p>The curve with equation ${y = ax^2 + bx + a}$, where ${a}$ and ${b}$ are constants, lies completely above the ${x}$-axis.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Write down the conditions which must apply to ${a}$ and ${b}$.</span></div><p style="text-align: right;">[2]</p></li><li><div class="list-item-content"><span class="list-item-text">Give an example of possible values for ${a}$ and ${b}$ which satisfy the conditions in part (i).</span></div><p style="text-align: right;">[2]</p></li></ol>

The curve with equation ${y = ax^2 + bx + a}$, where ${a}$ and ${b}$ are constants, lies completely above the ${x}$-axis.

Write down the conditions which must apply to ${a}$ and ${b}$.

Give an example of possible values for ${a}$ and ${b}$ which satisfy the conditions in part (i).