Скачать или смотреть Intersections and Key Features of a Quadratic and a Straight-Line Graph

This diagram shows the graphs of the quadratic function
𝑓
(
𝑥
)
=
𝑥
2
−
2
𝑥
−
3
f(x)=x
2
−2x−3 and the straight-line function
𝑔
(
𝑥
)
=
𝑥
−
3
g(x)=x−3. The quadratic cuts the x-axis at points A and B, and the straight line intersects the parabola at points C and B. Point D is the turning point (minimum point) of the parabola. The sketch is used to determine coordinates, calculate distances such as
𝐴
𝐵
AB, find the turning point, calculate the average gradient between points, and work out the angle formed at point
𝐶
C between lines
𝑂
𝐶
OC and
𝐵
𝐶
BC.

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