The image of the first-order function y = KX + B passes through the point a (2,0) and intersects with the image of the second-order function y = ax & # 178 at two points B and C (- 2,4) Find the analytic expressions of the two functions and the coordinates of point B Finding the area of △ BOC

The image of the first-order function y = KX + B passes through the point a (2,0) and intersects with the image of the second-order function y = ax & # 178 at two points B and C (- 2,4) Find the analytic expressions of the two functions and the coordinates of point B Finding the area of △ BOC


First, find the analytic expression of a function
0=2k+b,4=-2k+b
∴k=-1 b=2
∴y=-x+2
Because C (- 2,4)
∴4a=4
∴a=1
The analytic expression of quadratic function is y = x & # 178;
Bring in B (1.1)