Y = ax² + bx + c is the equation of a parabola:
y = 4x² -8x -6 is our equation.
The axis of symmetry in a parabola is x = -b/2a
x = -(-8)/(2.4) = - 8/8 and x = - 1 (axis of symmetry
It already is in simplest form because the numerator and denonimator don't have a common factor to then divide them by.
X=12, -9 I hope this somewhat helps you :)
Ill try to answer your question
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable 
in this polynomial is 
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is 
.
.
Similarly:
.
By the Factor Theorem, if 
is a root of a polynomial, then 
would be a factor of that polynomial. Note the minus sign between and 
.
- The root
corresponds to the factor 
, which simplifies to 
. - The root
corresponds to the factor 
, which simplifies to 
.
Verify that 
indeed expands to the original polynomial:
.
