SOLUTION: f(X)=x2-8X-6 thats x squared what is the vertex what is the x intercept what is the axis symmetry what is the graph look like does it open up or down

Question 799088: f(X)=x2-8X-6
thats x squared
what is the vertex
what is the x intercept
what is the axis symmetry
what is the graph look like
does it open up or down

Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

First thing you must learn: X is NOT the same thing as x. The only way we have to communicate is in writing, so make SURE you don't type something incorrectly.

Second, ^ (Shift-6) means "raise to the power", so x^2 means

The -coordinate of the vertex is at

The -coordinate of the vertex is

The -intercepts, if they exist, are at and where

and

The equation of the axis of symmetry is , which is to say the vertical line through the vertex.

It looks exactly like a parabola.

It opens upward if , downward otherwise.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The standard form of a parabola's equation is generally expressed:

The role of ''
if , the parabola opens
if , it opens
The axis of symmetry is the line
given:
...=>, ,, and
so, since =>, the parabola opens
The axis of symmetry is the line

The vertex form of a parabola's equation is generally expressed as :

(,) is the
..complete square

....=> and
so, (,) is the

the intercept: set and solve for
.........use quadratic formula

solutions:

or

so, the intercepts are (,) and (,)

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