Answer:
(1,1) minimum point
Step-by-step explanation:
The point on curve of parabola where curve changes direction is referred as the vertex of parabola.
In the given direction we can see that as the curve starts increasing from negative sides of x, first the value of y is decreasing,
then at a point which is v-shaped point(ti-point), there the value of y becomes minimum,
but after that the value of y starts increasing as value of x is increasing .
Thus, at tip -point , we can say that the parabola has changed direction.
and hence tip-point is the vertex.
while carefully looking at we can see that
value of x is 1 and y also is 1
thus vertex is (1,1).
By minimum/maximum point it means, value of x for which the value of y is minimum or maximum.
Here , the value of y at x = 1 is 1 which is minimum, it is clear from this graph that beyond this point,
at every point of curve value of y is greater than one,
Thus, option d is correct choice (1,1) minimum point
Also, remember if parabola is u shaped as shown
vertex is minimum point.
if parabola is inverted u shaped, vertex is maximum point.
