SOLUTION: The value of c for which the vertex of the parabola y=x^2+6x+c will lie on the x-axis is _____?

Algebra.Com
Question 634613: The value of c for which the vertex of the parabola y=x^2+6x+c will lie on the x-axis is _____?
Found 2 solutions by richwmiller, ewatrrr:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
y=x^2+6x+9
or
y=(x+3)^2

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
y=x^2+6x+c
The value of c for which the vertex of the parabola will lie on the x-axis
y = (x - 3)^2 - 9 + c |comleting the Square to put into Vertex form for: V(-3,0)
the vertex form of a Parabola opening up(a>0) or down(a<0),
where(h,k) is the vertex
c = 9 and


RELATED QUESTIONS

find the value of b such that the vertex of parabola y = x² + bx +c lies on... (answered by ikleyn)
What is the value of c if the vertex of the parabola {{{y=x^2-8x+c}}} is a point one... (answered by ccs2011)
The graph of y=ax^2 + bx + c is a parabola with vertical axis of symmetry. The vertex of... (answered by solver91311)
find the number b such that the vertex of the parabola y= x²+bx+c lies on the y-axis (answered by josgarithmetic)
I need help find the vertex, axis of symmetry, minimum or maximum value, and range of the (answered by MathLover1)
find the number b such that the vertex of the parabola y= x²+bx +c lies on... (answered by Fombitz)
The circle x^2 + (y-c)^2=r^2, where c >0 and r>0, lies inside the parabola y=x^2. The... (answered by Edwin McCravy)
the vertex of the parabola x2+6x+3y+r=0 is on the x-axis. Find r. (answered by josgarithmetic)
A parabola has intercepts of x = -2, x = 3, and y = -4. a. Write the intercept form of (answered by josgarithmetic,Edwin McCravy)