7 Matching 6 points Identify the key characteristics for the following eraph. Negative x -intercept Y-intercept Axis of symmetry Positive x -intercept Vertex

To match the key characteristics of a graph with the given possible answers, let's break down each characteristic and identify the correct match.<br /><br />---<br /><br />### 1. **Negative \( x \)-intercept**<br />The negative \( x \)-intercept is the point where the graph crosses the \( x \)-axis on the negative side. This means the \( y \)-coordinate is 0, and the \( x \)-coordinate is negative.<br /><br />**Answer:** \( (-1, 0) \)<br /><br />---<br /><br />### 2. **Y-intercept**<br />The \( y \)-intercept is the point where the graph crosses the \( y \)-axis. This means the \( x \)-coordinate is 0.<br /><br />**Answer:** \( (0, -1) \)<br /><br />---<br /><br />### 3. **Axis of symmetry**<br />The axis of symmetry is a vertical line that divides the graph into two symmetrical halves. It is typically written as \( x = \text{some value} \).<br /><br />**Answer:** \( x = 2 \)<br /><br />---<br /><br />### 4. **Positive \( x \)-intercept**<br />The positive \( x \)-intercept is the point where the graph crosses the \( x \)-axis on the positive side. This means the \( y \)-coordinate is 0, and the \( x \)-coordinate is positive.<br /><br />**Answer:** \( (5, 0) \)<br /><br />---<br /><br />### 5. **Vertex**<br />The vertex is the turning point of the graph. It is either the maximum or minimum point, depending on the shape of the graph.<br /><br />**Answer:** \( (2, 9) \)<br /><br />---<br /><br />### Final Matches:<br />- Negative \( x \)-intercept: \( (-1, 0) \)<br />- \( y \)-intercept: \( (0, -1) \)<br />- Axis of symmetry: \( x = 2 \)<br />- Positive \( x \)-intercept: \( (5, 0) \)<br />- Vertex: \( (2, 9) \)<br /><br />