Answer: D
Steps: In partially legible pic below. Sorry not the best explanation
The Polygon has 5 sides hence it is called a Pentagon.
Note : if it is 4 sided, it could be a square, or rectangle or parallelogram or rhombus.
5 sided is a Pentagon
6 sided is an Hexagon
7 sided is a Heptagon
8 sided is an Octagon
9 sided is a Nonagon
10 sided is a Decagon
The one in the question is 5 sided, so it is a Pentagon.
Explanation:
Vertex form of a quadratic function is given by y = a(x - h)² + k
where
1) 'a' determines if parabola is stretched or compressed.
If a > 1 then graph is stretched by a factor of a.
If 0 < a < 1, then graph is compressed by a factor of a.
2) If a > 0 then graph opens upwards with a happy face. (minimum)
3) If a < 0 then graph opens downwards with a sad face. (maximum)
4) (h, k) is the vertex point
5) The axis of symmetry is x = h
While solving for y = 1(x - 4)² + 3
Identify following's:
Vertex: (h, k) = (4, 3)
Axis of symmetry: x = 4
Max/Min: As here a > 0, Minimum (4, 3)
Stretch/compression: a = 1, the graph is stretched by a factor of 1.
Direction of opening: As a > 0, the graph opens upwards.