Function features of the graph in the image:
Vertex: ( 3/2 ,1)
Maximum or minimum: Minimum
Equation for the line of symmetry: x = 3 /2
x-intercept(s): (−1,0)
y-intercept: (0,1)
Interval of increase: (−∞, 3/2 )
Interval of decrease: ( 3 / 2 ,∞)
The graph is a parabola, which is a type of quadratic function.
The parabola opens downwards, which means that the leading coefficient of the quadratic function is negative.
The vertex of the parabola is the point of minimum value.
The line of symmetry of the parabola is the vertical line that passes through the vertex.
The x-intercepts of the parabola are the points where the graph crosses the x-axis.
The y-intercept of the parabola is the point where the graph crosses the y-axis.
The interval of increase of the parabola is the interval of x-values where the function is increasing.
The interval of decrease of the parabola is the interval of x-values where the function is decreasing.
The graph in the image is a parabola that opens downwards and has a minimum value at the point ( 3 / 2,1). The line of symmetry of the parabola is the vertical line x= 3 /2 . The parabola x-intercepts are (−1,0) and (4,0). The parabola y-intercept is (0,1). The interval of increase of the parabola is (−∞, 3/2 ) and the interval of decrease of the parabola is ( 3 /2,∞).