SOLUTION: 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-inte

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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?
Solved by pluggable solver: Plot a graph of any function AND its DOMAIN

Here's a graph of function (x^2-2x-24).

The domain is shown on the x axis by a green horizontal line.
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