Wednesday

September 17, 2014

September 17, 2014

Posted by **AJ** on Wednesday, March 23, 2011 at 7:12am.

- Analytic Goemetry -
**Reiny**, Wednesday, March 23, 2011 at 9:16amIn this case we don't know anything about the vertex, so we have to use the more general equation of the form

x = ay^2 + by + c

using (3/2 , 1) --- 3/2 = a + b + c

using (5,0 ) ------ 5 = 0+0+c or c=5

using (-1,2) ----- -1 = 4a + 2b + c

from the 2nd we know c=5

so in the first: a + b = -7/2 (#1)

in the 3rd : 4a + 2b = -6 or 2a + b = -3 (#3)

subtract #3 - #1 ----> a = 1/2

back in #1 :

1/2 + b = -7/2 ----- b = -4

so equation is

x = (1/2)y^2 - 4y + 5

Check to see of all 3 points satisfy this equation.

**Answer this Question**

**Related Questions**

Analytic Goemetry - Find the equation of the parabola whose axis is horizontal, ...

Analytic Geometry - Find the equation of the parabola through (-15/4 ,2) and (0...

Math - draw the following parabola: a. principal axis parallel to x; LR=1; ...

Algebra - I'm suppose to write an equation with the following information: Line ...

calculus - Find the equation of a parabola with vertex(5,-3)and the axis of ...

math - write an equation for the parabola with focus (1,3) and vetex (0,3) See ...

calculus - A parabola ,f, intersect the x axis at A and B and the y axis at C. ...

Analytic Geometry - A parabola has a directrix y=-3, axis =4 and latus rectum ...

Parabola Help - by plotting the graph of parabola y=2+3x-2x^2 which 3 option are...

Exploring Quadratic Graphs - ok, I totally did not get this question at all. ...