For the given model of the form y2 4px A Determine the valu

For the given model of the form y^2 = 4px

A. Determine the value of p.

B. Identify the focus.

C. Write an equation for the directrix.

Express numbers in exact, simplest form.

y^2 = 32x

Solution

y^2 = 32x

Gen : y^2 = 4px

a) 32 = 4p

p = 8

b) Focus :   parabola is left facing

So, foci ( 8, 0)

c) directrix: x = -8

For the given model of the form y^2 = 4px A. Determine the value of p. B. Identify the focus. C. Write an equation for the directrix. Express numbers in exact,

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