SOLUTION: The point A lies on the parabola y=x^2 - 6x +24. The point B lies on the parabola y= 6x-x^2 and is vertically below the point A.
a) Show this information on a neat diagram
b) Fin
Algebra.Com
Question 1128589: The point A lies on the parabola y=x^2 - 6x +24. The point B lies on the parabola y= 6x-x^2 and is vertically below the point A.
a) Show this information on a neat diagram
b) Find the least value of the length of line AB
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The point lies on the parabola
The point lies on the parabola and is the point.
solution:
-> parabola is , the point in vertex (minimum)
-> parabola is , the point in vertex (maximum)
writ both equations in vertex form:
=> vertex is at (,)=>the point
=> vertex is at (,)=>the point
since both points have same coordinate, the point lies vertically below the point because coordinate of the point is greater than coordinate of the point
a) Show this information on a neat diagram
b) Find the least value of the length of line AB
the length of line
RELATED QUESTIONS
given a parabola whose axis of symmetry is the y-axis. the point (1,5) lies on the... (answered by adamchapman)
A parabola has an axis of symmetry x=-2 and passes through the point (-5,6). Find another (answered by rfer)
The parabola has equation y^2 = 4ax , where a is a positive constant.
The point... (answered by greenestamps)
The point P(x, y) lies on the parabola y=(1/2)x^2. Find this point such that the sum S of (answered by stanbon,ikleyn)
which point lies on the graph
y/3 + 2=-x (answered by Fombitz)
The point p(3,-4) lies ..........the circle X^2+y^2+6x+8y=0
a) inside
b) outside
c)on
(answered by jim_thompson5910)
If Ia semi circle has a coordinate, M(1.5, 4) on a graph, and Poin M has the
greatest y (answered by Fombitz)
which point lies on the line described below..... (answered by Fombitz)
A parabola with the equation of the form y = ax^2 + bx + c has the point (3, 1) as its... (answered by Fombitz)