Explanation Formula used: Parabola with vertex at ( h , k ) ; Axis of symmetry parallel to a coordinate axis a > 0 . Vertex Focus Directrix Equation Axis of symmetry Opens ( h , k ) ( h + a , k ) x = h − a ( y − k ) 2 = 4 a ( x − h ) Parallel to x -axis Right ( h , k ) ( h − a , k ) x = h + a ( y − k ) 2 = − 4 a ( x − h ) Parallel to x -axis Left ( h , k ) ( h , k + a ) y = k − a ( x − h ) 2 = 4 a ( y − k ) Parallel to y -axis Up ( h , k ) ( h , k − a ) y = k + a ( x − h ) 2 = − 4 a ( y − k ) Parallel to y -axis Down Calculation: The equation of the parabola is, ( x + 3 ) 2 = y which is in the form of ( x − h ) 2 = 4 a ( y − k )

4th Edition

ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Chapter 12.3, Problem 69E

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To graph: The parabola y=(x+3)2.

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Chapter 12.3, Problem 68E

Chapter 12.3, Problem 70E

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To graph: The parabola y = ( x + 3 ) 2 .

Solution Summary: The author explains the formula of the parabola with vertex at (h,k).

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To graph: The parabola y=(x+3)2.

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