[填空题]
A healthcare company j04oexr.oy:o((0ezx(ykq n m bpkk(ujr 2d3; is designing a new deodorant stick that can be modelled by the shape of a parabola as the top, vertical lines as the si3d pr ;kkbu(j2des and a horizontal line as the base, on the x-axis. The parabola has end points at (0,7) and (5,7), and vertex at (2.5,8).
This design is shown in the diagram below. All distances are measured in centimetres.
The quadratic curve can be expressed in the form y=ax2+bx+c for 50≤x≤5.
1.(1)Find the value of c. c =
(2)Using the points(2.5,8) and (5,7), write two equations in a and b.
(3)Hence, find the equation of the quadratic curve. y=$ax^b+cx+d$ a = b = c = d =
2.Find the area of the shaded region in the deodorant design. Area ≈ cm$^2$
