SOLUTION: Find the vertex,focus and end points of the latus rectum of the parabola y^2-6x+3=0

Question 1018492: Find the vertex,focus and end points of the latus rectum of the parabola y^2-6x+3=0
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Knowing something about how an equation for parabola is derived is helpful.

An easy transformation of the equation is . Your parabola has a vertex at the left and parabola opens toward the right. The vertex is (1/2,0).

Comparing to a more generally derived equation, you could have for p being distance from vertex to focus, so here, you have . You will expect the focus to be to the right of the vertex, for your example, and so the focus point is (2,0).

(Latus Rectum is related to where the y values are in relation to the focus.)
(What are the y values for x=2 ?)
RELATED QUESTIONS
Find the vertex and focus and end points of the latus rectum of the parabola... (answered by josgarithmetic)

Find the vertex and focus and end points of the latus rectum of the parabola... (answered by Edwin McCravy)

Find the coordinates, latus rectum and end points of the parabola x^2-8y=0 given the... (answered by josgarithmetic)

PARABOLA: what's the vertex, focus, directrix, latus rectum and graph of the... (answered by solver91311)

Find the focus, vertex, length of latus rectum,and the equation of directrix of the... (answered by josgarithmetic,greenestamps)

Find the equation of parabola, find the two points that defines the latus rectum and... (answered by josgarithmetic)

Find the latus rectum, vertex and directrix of the parabola... (answered by MathLover1,josgarithmetic,MathTherapy)

Find the focus, vertex, directrix , axis, and latus rectum of the parabola, y2 =8x-8y (answered by lwsshak3)

(Y-2)^2= -16(x-3) Find the Vertex Focus Endpoints of latus rectum Directrix (answered by josgarithmetic)