SOLUTION: find vertex and intercept coordinates of the following
a=b^2-6b-16
Algebra.Com
Question 143460: find vertex and intercept coordinates of the following
a=b^2-6b-16
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
Let's rewrite it because the symbols are poorly chosen.
y=x^2-6x-16
The vertex of ax^2+bx+c=0 is x=-b/2a.
For this problem we have x=6/2=3, which gives a y-value of 9-18-16=-25. Vertex is (3,-25).
Intercepts:
x-intercepts: 0=x^2-6x-16
Factor:
0=(x-8)(x+2)
Which implies x=8 or x=-2. In point form, (8,0), (-2,0)
y-intercepts:
set x=0
y=-16. In point form, (0,-16).
Here is the graph:
E-mail me at enabla@gmail.com if you have further difficulty.
RELATED QUESTIONS
find the vertex and intercept coordinates of the following.... (answered by nabla)
For each of the following quadratics,
A. y=-2(x+1)^2+8
B. y=x^2+6x-16
-... (answered by drk)
[ Find the x-intercept(s) and the coordinates of the vertex for the parabola y = x^2 + 2x (answered by TimothyLamb)
Find the x-intercept(s) and the coordinates of the vertex for the parabola... (answered by josgarithmetic)
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=X^2+6x-7
(answered by josgarithmetic)
b^2+6b=16 (answered by lynnlo)
find the x-intercept(s) and he coordinates of the vertex for the parabola... (answered by solver91311)
find the coordinates of the vertex & y-intercept of the parabola... (answered by Mathtut)
Consider the parabola given by the equation: f(x)=-2x^2-10x-12
Find the following for... (answered by MathLover1)