08 - Graphing Parabolas in Vertex Form & Shifting Horizontally and Vertically

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In this lesson, we will learn how to shift a parabola in the xy plane by any arbitrary horizontal and vertical shift.
The horizontal shifting is done by slightly changing the x-coordinate in the function, and the vertical shift is done by changing the y-coordinate.
In this way, we can place the parabola anywhere in the xy plane by using any combination of horizontal shifts and vertical shifts.

[@davidogbija5806]

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[@noppathomworachai376]

He's very good at what he's doing! He makes me understand a lot

[@durdonabakhtiyor2534]

Thank you Sir. You're the best teacher. ❤

[@anushkavashisth4336]

r u from india

[@VidushiThakur18]

Thankyou sir

[@ronshealthcenter]

Super beneficial

[@hemarajue2736]

If we drop a axis of symmetry at the vertex,it is going to be easier to draw a parabola by hand. right ?

[@Frederick-sg2dc]

Thank you!

[@caileanjones9713]

If I shifted y = 2x^2 one to the left, what would the new equation be? Thanks

[@lionciomorcilla4743]

y = 2(x+1)²

[@user-vb6gd7ug1w]

תודה!

[@MathAndScience]

Thank you so much!

[@xfry]

Thank you for this great explanation