Question

which statements are true about the graph above? select four correct statements. the coordinate of the y - intercept is (0, -3) both x - intercepts (zeros) are positive. the axis of symmetry is x = 2 the vertex is located at (2, -7) the minimum value is -7

Explanation:

1. Y-intercept: The graph crosses the y-axis at (0, -3), so this statement is true.
2. X-intercepts: The graph crosses the x-axis at one positive value (x>0) and one negative value (x<0), so not both are positive. This statement is false.
3. Axis of Symmetry: This is the vertical line through the vertex, which is \(x=2\). This statement is true.
4. Vertex: The lowest point (vertex) of the parabola is at (2, -7). This statement is true.
5. Minimum value: The y-value of the vertex is the minimum value of the function, which is -7. This statement is true.

Answer:

• The coordinate of the y-intercept is (0, -3)
• The Axis of Symmetry is x=2
• The vertex is located at (2, -7)
• The minimum value is -7