SOLUTION: given that a rarabola has a directrix of y=-3.25 and focus (0,-2.75) find the vertex please show step by step

Question 617006: given that a rarabola has a directrix of y=-3.25 and focus (0,-2.75) find the vertex
please show step by step

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
given that a parabola has a directrix of y=-3.25 and focus (0,2.75),...find the vertex
then write the equetion of the parabola and graph the parabola
**
This is a parabola that opens upwards:
Its standard form of equation: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex, A=multiplier which affects width or steepness of the curve.
axis of symmetry: y-axis or x=0
x-coordinate of vertex=0
y-coordinate of vertex=3 (halfway between focus and directrix on the axis of symmetry)(2.75+3.25)/2=3
vertex: (0,3)
p=.25 (distance from focus or directrix to vertex on the axis of symmetry
4p=1
Equation: x^2=y-3
see graph below:

RELATED QUESTIONS
given that a parabola has a directrix of y=-3.25 and focus (0,2.75),...find the vertex (answered by lwsshak3)

Given that a parabola has a directrix of y=-3.25 and focus (0,-2.75), find the vertex. (answered by ewatrrr)

given the parabola has a directrix of y= -3.25 and focus (0, -2.75), find the vertex and... (answered by Fombitz)

Find the equation of the parabolaparabola with a focus of (-1,-3) and directrix of y:-1.... (answered by stanbon)

Find the vertex, focus and directrix of the parabola, {{{ y^2-10y+4x+25=0 }}} (answered by josgarithmetic)

Please show the steps on how to solve: Find the vertex, focus, and directrix of the... (answered by ewatrrr)

Find the vertex, focus and directrix of a parabola represented by the equation... (answered by lwsshak3)

I need help with this too, Please: Find the vertex, focus, and directrix of the given... (answered by Nate)

i need help with step by step. the teacher didnt do it step by step he did problems in... (answered by lwsshak3)