Factoring
The solution(s) to the following equation is:
x2 - 1 = 0
x = -1 and x = 1
The Axis of Symmetry for the following quadratic is:
-2x^2-4x+5
(-(-4))/(2(-2)
-1
The solution(s) to the following equation is:
x2 + 6x = -8
{-4, -2}
What is the quadratic formula?
x=(-b +- sqrt(b^2-4ac))/(2a)
What are three ways you can solve for the x-intercepts?
Completing the Square
Factoring
Quadratic Formula
Graphing
Taking the Square Root
The solution(s) to the following equation is:
x2 - 6x + 5 = 0
x=1, x=5
The vertex of the following equation is:
x^2+8x-20
(-4,-36)
The solution(s) to the following equation is:
x2 - 6x = -5
{1, 5}
The solution(s) to the following equation is:
x2 + 6x + 5 = 0
x = -1, x = -5
What is the discriminant?
b2-4ac
The solution(s) to the following equation is:
n2 - 7n + 6=0
n=6, n=1
The direction of the following parabola is:
-3x+x^2-10
opening positive
The solution(s) to the following equation is:
x2 - 2x = 24
{-4, 6}
The solution(s) to the following equation is:
x2 - 9x + 6 = 0
(9 +- sqrt57)/2
Name three topics on this week's test.
Solving quadratics by completing the square, solving quadratics by graphing, factoring quadratics, solving quadratics using the quadratic formula
The solution(s) to the following equation is:
b2 - 8b = 20
b=10, b=-2
Describe the transformations of the following equation:
f(x)=3(x-4)^2+1
- Shifted right 4
- Shifted up 1
- Growth factor (narrows/accelerates) by a factor of x3
The solution(s) to the following equation is:
x2 + 10x +5 = 0
-5 +- 2(sqrt5)
The solution(s) to the following equation is:
2x2 + 9x + 4 = 0
{-1/2, -4}
What is the standard form of a quadratic equation?
ax2 + bx + c = 0
The solution(s) to the following equation is:
9x2 + 5x - 24= 8x2 + -5x
x=-12, x=2
Describe the transformations of the following equation:
f(x)=-(1/2)(x+3)^2-4
- Shifted left 3
- Shifted down 4
- Growth factor (widens) by a factor of half
The solution(s) to the following equation is:
x2 - 8x + 13 = 0
4 +-sqrt 3
The solution(s) to the following equation is:
4x2 - 17x =-12
(17 +- sqrt97)/2
Simplify:
sqrt(405)
+-9 sqrt(5)