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In this video I go over further into conic sections and this time go over a quick example on shifting a horizontal parabola, i.e. one that opens horizontally. The example involves graphing the parabola x = 1 – y2 and while it is pretty straight forward to graph this equation, I follow the same methodology used in my earlier videos on shifted conic sections. This is to better illustrate how we can shift conic sections by simply replacing the x and y values with (x – h) and (y – k). Thus the formula x = -y2 with the origin as the vertex gets shifted to (x – 1) = -y2 and with vertex (1, 0). This is a very useful video in illustrating the steps in shifting a parabola, even though the parabola formula itself is pretty simple, so make sure to watch this video!
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Related Videos:
Shifted Conics: Example 1: Parabola: https://youtu.be/VqxlOUqzvGY
Shifted Conics: Hyperbolas: ttps://youtu.be/Evz6duQ2-U8
Shifted Conics: Parabolas: https://youtu.be/UlrAkAW3T8Y
Shifted Conics: Ellipses (and Circles): https://youtu.be/ZqtUfaQbj7U
Conic Sections: Hyperbola: Definition and Formula: https://youtu.be/UBIHovXNV9U
Conic Sections: Parabolas: Definition and Formula: https://youtu.be/kCJjXuuIqbE
Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): https://youtu.be/9dETsJ2tz_M .
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