Question

1086-4-2-10-8-2+Mark this and returnNi 19 p-101086A2438 10 xWSave and E

Answer 1

Step 1

Write the equation:

`f(x)\text{ = }(1)/(2)x^2\text{ + 2x - 6}`

Step 2

Find the vertex , the intercepts and the plot the graph

`\begin{gathered} \mathrm{Axis\:interception\:points\:of}\:(1)/(2)x^2+2x-6:\quad\mathrm{X\:Intercepts}:\:\left(2,\:0\right),\:\left(-6,\:0\right),\: \\ \begin{equation*} \mathrm{Y\:Intercepts}:\:\left(0,\:-6\right) \end{equation*} \\ \\ \\ \mathrm{Vertex\:of}\:(1)/(2)x^2+2x-6:\quad \mathrm{Minimum}\:\left(-2,\:-8\right) \end{gathered}`