Factoring & Characteristics of Parabola
What are the factors of
y = x2 -5x - 14 ?
(x - 7)(x + 2)
Solve the following quadratic equation by using square roots:
x2 = 4
x = 2 x = -2
What number should be added to both sides to complete the square for
x2 + 6x = -8 ?
9
What is the quadratic formula?
x = -b +- sqrt(b2 - 4ac) /(2a)
Find the vertex of
f(x)=-x2+8x-15
(4,1)
What are the x-intercepts of the graph
y = x2+3x+2 ?
x = -2 x = -1
Solve the following quadratic equation by using square roots:
2x2 = -72
+6i or -6i
Solve the following quadratic equation by completing the square:
x2 - 6x = -5
x = 1 x = 5
How many times does the graph of the parabola for
y = 2x2 - 5x + 1 cross the x-axis?
twice
Find the vertex of
f(x)=x2 - 2x
(1,-1)
What are the solutions for the quadratic equation
x2 - 2x = 24 ?
-4, 6
Solve the following quadratic equation by using square roots:
4x2 - 5 = 395
x = 10 x = -10
Solve the following quadratic equation by completing the square:
x2 - 12x + 48 = 0
x = 6 +- 2i sqrt(3)
How many times does the graph of the function
y = -4x2 + 2x - 1 intersect the x-axis?
none
Solve the system:
6x + y = 32
2x + 8y = -20
(6, -4)
For the graph:
y = 2x2 + 12x - 10
a) What is the y-intercept?
b) What is the axis of symmetry?
a) y-intercept: - 10
b) axis of sym: x = -3
What is the product of
(11 + 2i) and (12 - 14i)?
160 - 130i
Write the following in vertex form:
y = 2x2 + 12x +16
y = 2(x+3)2 - 2
Solve the following quadratic equation by using the quadratic formula:
2x2 - 3x - 3 = 0
x = 3/4 +- (sqrt(33))/4
f(x)= -x2 - 4x + 6
(-2,10)
Find the x-values:
y = x2 + 3x - 50
y = 2x - 20
x = 5, x = -6
Solve the following quadratic equation by using square roots:
-3(x-1)2 + 3 = 123
x = 1 +- 2i sqrt(10)
Solve the following quadratic equation by completing the square:
2x2 - 8x = 10
x = 5 x = -1
Solve the following quadratic equation by using the quadratic formula:
4x2 - 2x + 3 = 0
x = 1/4 +- (i sqrt(11))/4
It costs $135 for a season pass to Knott's and a individual day ticket costs $32 without the pass. What is the minimum number of times you should go to Knott's in order for the cost of the pass to be less than the total cost of buying an individual ticket for each time he attends.
5 times