1. **State the problem:** We have a quadratic function represented by a table of values with $x$ and $y$ values. 2. **Identify key features:** - The **x-intercept** is where the function crosses the $x$-axis, so $y=0$. - The **minimum value** is the lowest $y$ value of the function. - The **vertex** is the point where the function attains its minimum (or maximum) value. - The **line of symmetry** is the vertical line passing through the vertex. 3. **From the table:** - At $x=5.33$, $y=0$, so the x-intercept is $(5.33, 0)$. - The minimum value of the function is $0$ at $x=5.33$. - The vertex is therefore at $(5.33, 0)$. - The line of symmetry is the vertical line $x=5.33$. **Final answers:** - The x-intercept is $(5.33, 0)$. - The minimum value of the function is $0$. - The vertex of the function is $(5.33, 0)$. - The line of symmetry is $x=5.33$.