# 2y46 013-20 Graphing Shifted Parabolas An equation of a parabolais given. (a) Find the vertex, focus, and directrix of the parabola.(b) Sketch a graph showing the parabola and its directrix

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1 views help_outlineImage Transcriptionclose2y 46 0 13-20 Graphing Shifted Parabolas An equation of a parabola is given. (a) Find the vertex, focus, and directrix of the parabola. (b) Sketch a graph showing the parabola and its directrix fullscreen fullscreen
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Step 1
1. a) Given equation of parabola is

The standard equation of a right-left parabola with vertex at (h,k) and focal length p is given by:

Rewriting the given equation:

Here h = 3, k = -1 and p = 4

Hence the vertex is (h,k) = (3, -1)

And the focus is given by (h + p, k) = (3 + 4, -1) = (7,-1)

The directrix is given by x = hp

Hence, the directrix is x = 3 – 4 = -1

Step 2

b)

Plotting the graph using the ... help_outlineImage Transcriptionclose5 X-1 4 3 2 1 -4 -2 -1 0 2 5 -1 -2 -3 -4 -5 fullscreen

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### Calculus 