SOLUTION: Find an equation in standard form of the parabola passing through the following points.
(0,-4),(1,1),(2,8)
Algebra.Com
Question 572994: Find an equation in standard form of the parabola passing through the following points.
(0,-4),(1,1),(2,8)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation in standard form of the parabola passing through the following points.
(0,-4),(1,1),(2,8)
**
Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.
..
Solve for A, h and k with the following 3 equations using 3 given points:
1)-4=A(0-h)^2+k
2)1=A(1-h)^2+k
3)8=A(2-h)^2+k
..
1)-4=A(h)^2+k
2)1=A(1-h)^2)+k
subtract, to eliminate k
3)-5=A(h^2-(1-h)^2)
-5=A(h^2-1+2h-h^2)
-5=A(-1+2h
..
2)1=A(1-h)^2+k
3)8=A(2-h)^2+k
subtract to eliminate k
4)-7=A(1-h)^2-(2-h)^2)
-7=A(1-2h+h^2-4+4h-h^2)
-7=A(-3+2h)
..
-5=A(-1+2h
-7=A(-3+2h)
..
-5=-A+2hA
-7=-3A+2hA
subtract
2=2A
A=1
..
-5=-A+2hA
-5=-1+2h
2h=-4
h=-2
..
1=A(1-h)^2+k (eq 2)
1=1*(1+2)^2+k
1=9+k
k=-8
..
A=1, h=-2, k=-8
Equation of Parabola
y=A(x-h)^2+k
y=(x+2)^2-8
RELATED QUESTIONS
Find an equation in standard form of the parabola passing through the points.
(1, -1),... (answered by Edwin McCravy)
1. Find an equation in standard form of the parabola passing through the points. Show... (answered by Alan3354)
Find an equation in standard form of the parabola passing through the following points... (answered by lwsshak3)
Please help me solve this equation in standard form of the parabola passing through the... (answered by josgarithmetic)
find the equation in standard form for the parabola passing through the points (2,-8)... (answered by lwsshak3)
Find the equation of a line passing through points (-2, 4) and (-1, 6). Put the equation... (answered by josgarithmetic)
Find an equation in the form y=ax^2+bx+c for the parabola passing through the points... (answered by MathLover1,greenestamps,ikleyn,Edwin McCravy)
Find an equation in standard form of the parabola passing through the given points:... (answered by josgarithmetic,MathTherapy)
Find the equation in standard form of the parabola passing through the points below.... (answered by solver91311)