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Course: Pixar in a Box > Unit 15

Lesson 2: Mathematics of rendering
Computing
Pixar in a Box
Rendering
Mathematics of rendering
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Solve for t

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Problem

We can parameterize the ray from C through P as a function of t:
R(t)=(1−t)C+tP
With C at (0,0) and P at (2,−3), R(t) intersects a line defined by the equation:
y=x2−7
If the intersection point is I and I=R(t∗), what is the value of t∗?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi