SOLUTION: find the value of b such that the vertex of parabola y = x� + bx +c lies on y-axis

Question 1106931: find the value of b such that the vertex of parabola y = x� + bx +c lies on y-axis
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Answer. b = 0.

Solution

    x-coordinate of the vertex is .


    The fact that the vertex lies at the y-axis means that x-coordinate of the vertex is zero,  or, in other words,  = 0.


    It implies  b = 0.

Solved.

RELATED QUESTIONS
find the number b such that the vertex of the parabola y= x�+bx+c lies on the y-axis (answered by josgarithmetic)

find the number b such that the vertex of the parabola y= x�+bx +c lies on... (answered by Fombitz)

find the b such that the vertex of parabola y� + 2y - bx -3 passes through... (answered by dkppathak,ikleyn)

The graph of y=ax^2 + bx + c is a parabola with vertical axis of symmetry. The vertex of... (answered by solver91311)

I need help find the vertex, axis of symmetry, minimum or maximum value, and range of the (answered by MathLover1)

find the b such that the vertex of parabola y� + 2y - bx -3 =0 passes through... (answered by ikleyn,greenestamps)

find the value of b from the parabola equation y�+2y-bx-3=0 on the vertex... (answered by ikleyn)

My problem is to find the number c such that the vertex of f(x)=x^2+8x+c lies on the... (answered by stanbon)

A parabola has vertex at (4, 6) and intersect the x-axis at x = 8. Find its equation in... (answered by nerdybill)