Question

OSCalc1 11.1.041. The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name the type of basic curve that the pair of equations represents. $x = 2t + 8, y = t^2 - 7$ line parabola circle ellipse (but not a circle) hyperbola

Name: oscalc1 111041 the pair of parametric equations represents a line parabola circle ellipse or hyperbola name the type of basic curve that the pair of equations represents x 2t 8 y t2 7 line p 87945
Uploaded: 2025-07-12T18:03:11-08:00
Duration: 1 min 28 s
Channel: Christopher Dzorkpata
Description: oscalc1 111041 the pair of parametric equations represents a line parabola circle ellipse or hyperbola name the type of basic curve that the pair of equations represents x 2t 8 y t2 7 line p 87945

          OSCalc1 11.1.041.
The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name the type of basic curve that the pair of equations represents.
$x = 2t + 8, y = t^2 - 7$
line
parabola
circle
ellipse (but not a circle)
hyperbola

oscalc1 111041 the pair of parametric equations represents a line parabola circle ellipse or hyperbola name the type of basic curve that the pair of equations represents x 2t 8 y t2 7 line p 87945

Added by Keith W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Christopher Dzorkpata

07/12/2025

Step 1

From the first equation, solve for $t$: $x - 8 = 2t$ $t = \frac{x - 8}{2}$ Step 3: Substitute this expression for $t$ into the second equation: Show more…

Show all steps

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OSCalc1 11.1.041. The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name the type of basic curve that the pair of equations represents. $x = 2t + 8, y = t^2 - 7$ line parabola circle ellipse (but not a circle) hyperbola