Answer:
The y-intercept is (0, 8)
The x-intercepts are (2, 0) and (4, 0)
The axis of symmetry is a vertical line at x = 3
The vertex is (3, -1)
The graph has a minimum value -1 at x = 3
The domain is {x: x ā R} ā (-ā, ā)
The range is {y: y ā„ -1} ā [-1, ā)
Step-by-step explanation:
By using the given figure
The figure represents a parabola (the graph of a quadratic function
āµ The parabola intersects the y-axis at point (0, 8)
ā“ The y-intercept is (0, 8)
āµ The parabola intersects the x-axis at point (2, 0) and (4, 0)
ā“ The x-intercepts are (2, 0) and (4, 0)
āµ The axis of symmetry of the parabola is a vertical line that passes
Ā through the vertex of it
āµ The x-coordinate of the vertex point is 3
ā“ The axis of symmetry is a vertical line at x = 3
āµ The vertex of the parabola is the lowest point on the graph
āµ The lowest point is (3, -1)
ā“ The vertex is (3, -1)
āµ The vertex point of the graph is the lowest
ā“ The graph has a minimum value -1 at x = 3
āµ The domain is all values of x belong to the parabola
āµ x could be any real number
ā“ The domain is {x: x ā R} ā (-ā, ā)
āµ The range is all the values of y from the lowest point
āµ The y-coordinate of the lowest point is -1
ā“ The range is {y: y ā„ -1} ā [-1, ā)
