Quadratic graph explorer

<p>Express $y=2{{x}^{2}}+4x-6$ in the form $a{{(x+b)}^{2}}+k$, where $a$, $b$ and $k$ are constants.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">State the minimum value of the function and the value of $x$ when this occurs.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Hence, sketch the graph of $y=2{{x}^{2}}+4x-6$ and state the coordinates of $x$ and $y$-intercepts and turning points.</span></div></li></ol>

Express $y=2{{x}^{2}}+4x-6$ in the form $a{{(x+b)}^{2}}+k$, where $a$, $b$ and $k$ are constants.

State the minimum value of the function and the value of $x$ when this occurs.

Hence, sketch the graph of $y=2{{x}^{2}}+4x-6$ and state the coordinates of $x$ and $y$-intercepts and turning points.

Question 105624

Question 105624