We can write the equation of parabola in the form:
. The focus is (h,k+p) and the directrix is . The vertex is (h,k). In item b) we receive: and . Thus, . The equation is:
In c). we get , . The equation is:
Now we write the equation in the form: . The focus is (h,k+p) and the directrix is . The vertex is (h,k). For a). we receive: , . Thus, The equation is: . The standard forms of equations of parabola are: and , where . All obtained equations are in standard forms.
Answer: a). ; b). ; c).
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