Parametric Equations in Algebraic Contexts
Math ⇒ Algebra
Parametric Equations in Algebraic Contexts starts at 11 and continues till grade 12.
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See sample questions for grade 12
Describe how to graph the parametric equations x = t^2, y = t + 1 for t in [-2, 2].
Describe the process of converting the parametric equations x = 2t + 1, y = 3t - 4 into a Cartesian equation.
Explain why parametric equations are useful in describing the motion of objects.
Given the parametric equations x = 2t + 1 and y = 3t - 4, eliminate the parameter t to find the Cartesian equation relating x and y.
Given the parametric equations x = 3t - 2, y = 2t + 5, find the point where t = -1.
Given the parametric equations x = 4cosθ, y = 4sinθ, what is the Cartesian equation of the curve?
Given the parametric equations x = t^2 + 1, y = 2t, find the coordinates of the point when t = -3.
Given the parametric equations x = t^2 and y = 2t + 1, express t in terms of x and substitute into y to find y as a function of x.
Given x = 2t + 1 and y = 3t - 4, what is the slope of the line represented by these parametric equations?
Given x = 2t + 1 and y = t^2, find the value of t for which x = 5.
Given x = 3t + 2 and y = 4t - 1, find the coordinates of the point when t = 2.
Given x = t^2 - 1 and y = 2t, eliminate the parameter t to find the Cartesian equation.
Given x = t^2 and y = t^3, find the Cartesian equation relating x and y.
If a particle moves along the curve defined by x = 4cosθ, y = 3sinθ, what is the maximum value of y?
If x = 2cos t and y = 2sin t, what is the length of the major axis of the curve?
If x = 2t and y = 3t + 1, what is the value of y when x = 8?
