Question 486981: f(x)=x^2-2x-24
a - Determine the vertex?
b - Does the graph open up or down?
c - What is the equation of the axis of symmetry?
d - Find any x-intercepts?
e - Find the y-intercepts?
f - Sketch the graph.
g - State the domain and range in interval notation?
If you mess up one thing it makes you start over completely with a new problem, which what keeps happening to me.
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website! 
a - Determine the vertex?
Vertex Form of Equation
The vertex form of a parabola's equation is generally expressed as :
(h,k) is the vertex
so, (h,k) is (1,-25)
b - Does the graph open up or down?
If a> 0, the parabola opens upwards
if a< 0, it opens downwards.
 ..  , the parabola opens upwards
c - What is the equation of the axis of symmetry?
The axis of symmetry is the line 
and 
d - Find any x-intercepts?
....set 
 ...replace  with 
 ...group
if  .....->... .......one x-intercept is at (6,0)
if  .....->... .......other one x-intercept is at (-4,0)
e - Find the y-intercepts?
....set 
 ......
so, y-intercept is at (0,-24)
f - Sketch the graph.
g - State the domain and range in interval notation?
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