Factoring
x2 + 27x + 50
(x+2)(x+25)
Determine which values represent a, b, and c for:
x2 + 5x + 1
a = 1
b = 5
c = 1
Determine the vertex:
y = -2/3 |x + 4| + 1
(-4, 1)
Determine the vertex of:
y = -1/2(x + 4)2 - 2
(-4, -2)
Determine the domain of:
y = -1/2(x + 4)2 - 2
(-inf, inf)
16x2 - 25
(4x + 5)(4x - 5)
What is the value of the discriminant for:
x2 + 5x + 1
How many real/nonreal solutions does this have?
21; 2 real solutions
Axis of Symmetry for:
y = -2/3 |x + 4| + 1
x = -4
What is the y-intercept of:
y = -1/2(x + 4)2 - 2
HINT: y-intercept is where x is equal to 0...
(0, -10)
Determine the x-intercepts of:
y = -2x2 - 8x - 6
(-1, 0)
(-3, 0)
6x2 - 13x + 6
(2x - 3)(3x - 2)
Solve the equation:
9x2 + 30x + 25 = 0
x = -5/3
What are the transformations for:
y = -2/3 |x + 4| + 1
refelction over x-axis
vertical compression y a factor of 2/3
translation left 4, and up 1
Graph:
y = -1/2(x + 4)2 - 2
HINT: make a table...
see board
Determine the x-intercepts if any:
y = -1/2(x + 4)2 - 2
none
2w2 - 18w - 72
2(w-12)(w+3)
Solve the equation:
2x2 + 4 = 3x
x = 3+- isqrt(23) / 4
Secret Random Question:
Which FAMOUS scientist invented the color wheel?
Sir Isaac Newton
Determine the y-intercept of:
y = -2x2 - 8x - 6
(0, -6)
Write the vertex form equation using the following points:
vertex: (-6,4)
point:(-9, -7)
y = -1/3x2 -4x -16
Solve by factoring: 18x5 + 21x4 - 9x3 = 0
x = -1/3, 0, 3/2
Solve 5b2 + 4b - 3 = 5
x = -2 +- 2sqrt(11) / 5
Graph:
y = -2/3 |x + 4| + 1
see board
Antonio throws a basket ball into the air in an attempt to make a 3-pointer. The ball's trajectory can be modeled by the equation:
h(t) = -16t2 + 40t + 6
Determine how long it takes for the basketball to hit the ground.
about 2.64 seconds
+500 points
Write the standard form equation using:
(0, -8), (-2, -16), (2, 4)
y = -1/2x2 +5x - 8