1
No 3
Because you can plug in any value of "x" and the domain of a function represent the admissible values of "x".
Because the parabolas we studied have a vertex, it goes from that vertex either upwards or downwards. The range of a function represent the possible values for "y".
No 2
The sign of the coefficient "a". If a>0 it opens upwards, if a<0 it opens downwards.
No 1
To account for two possible solutions.
No 6
(x-1)(x+44)
No 6
(4x+3)2
No 9
x=\frac{-9-\sqrt{113}}{8}
x=\frac{-9+\sqrt{113}}{8}
No 10
\frac{1+\sqrt{5}}{2}
\frac{1-\sqrt{5}}{2}
No 7
x=3/4, x=-17/3
No 8
x=-78/5, x=13/34
No 13
Domain=All numbers. Range [0,\infty)
No 14
Domain=All numbers. Range [-33/4,\infty]
No 11
Vertex: (-9/8, -113/16)
No 15
The vertex at x=30 gives the number of crafts which gives the maximum profit.
No 12
Vertex: (1/2, -5/4)
No 16
The vertex at t=19 gives the time at which the maximum height is reached.
What technique is used to prove the quadratic formula?
Completing the square.
What happens to the quadratic formula when the quadratic equation in question has no solutions?
The value inside the square root is negative.
What happens to the quadratic formula when the quadratic equation in question has one solutions?
The value inside the square root is zero.
What happens to the quadratic formula when the quadratic equation in question has two solutions?
The value inside the square root is positive.