EXAMPLE 1 Sketch the graph of the surface z - 6x2 SOLUTION Notice that the equat

Question

EXAMPLE 1 Sketch the graph of the surface z - 6x2 SOLUTION Notice that the equation of the graph Z = 6x2 doesn't involve y. This means that any vertical plane with equation y (parallel to the xz-plane) intersects the graph in a curve with equation z- figure shows how the graph is formed by taking the parabola z k So these vertical traces are parabolas. The in the xz-plane and moving it in the direction of the Video Example 40 y-axis ;'. . The graph is a surface, called a parabolic cylinder, made up of infinitely many shifted copies of the parabola. Here the rulings of the cylinder are parallel to the y-axis . Need Help? ?hadi iuktonel

Explanation / Answer

Any vertical plane parallel to xz plane (y=k) ..intersects the curve only at one point z=0

the equation of parabola is z=6x²...and it is first drawn... and is moved .

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