Graphing/Writing Equations of Quadratics
Factoring
Completing the Square
Choosing a Method
Solving!
100
What is the vertex form equation?
y = a(x-h)2 + k
100
Factor: x2 + 8x + 15
(x + 3)(x + 5)
100
What term should be added to make a perfect square trinomial below?
y = (x2 - 24x + ____)
144
100
If a quadratic is written in ____________ form or _____________ form, you can set it equal to 0 and solve it as is.
vertex, root/factored
100
What is the first step in solving ANY quadratic equation?
Set the equation equal to 0!
200
Write the equation of a quadratic in vertex form with vertex at (− 3, 6) and through the point (1, − 2).
y = 1/2 (x+3)^2 + 6
200
Factor: x2 - 36
(x + 6)(x-6)
200
Now that I have my perfect square trinomial, how can I rewrite this as a perfect square?
4(x2 + 14x + 49) +10
4(x+7)2+10
200
What TV show is she from?
Hannah Montana
200
If the factors of a quadratic are 3x + 1 and x -2, what are the roots?
x = -1/3, 2
300
Find the vertex, y-intercept, and symmetry point BY HAND:
1/5 (x-5)^2-1
vertex: (5, 1)
y-int: (0, 4)
sym pt: (10, 4)
300
Factor:
y = 4x2 + 13x + 3
Factors: 4x +1, x+3
300
Who is the host of American Idol?
Ryan Seacrest
300
Which method would be best to solve? (Quadratic Formula, Factoring, or Completing the Square?)
x2+12x+32
Factoring! (discriminant is 16, a perfect square)
300
Solve: y = 4(x-2)2 - 100
x = 7, -3
400
Write the equation of the quadratic:
y= -4/3(x-2)(x-6)
400
What are the names of Harry's two best friends in the Harry Potter series?
Hermoine Granger and Ronald Weasley
400
Complete the square to rewrite the equation in vertex form and state the vertex:
y=x2 -8x + 11
y=(x-4)2-5
Vertex: (4, -5)
400
Which method would be best to solve? (Quadratic Formula, Factoring, or Completing the Square?)
3x2+7x-1
Quadratic Formula! (discriminant is 61, so not a positive perfect square, and b is NOT divisible by a and 2)
400
Solve by completing the square:
y = x2+22x+129
x = -11 + 2i sqrt2
x = -11 - 2i sqrt2
500
Find the roots and vertex for the following quadratic BY HAND:
y = 3(x-8)(x+2)
Roots: (-2,0), (8,0)
Vertex: (3, -75)
500
Factor and find the roots:
y = 3x2 -10x + 8
Factors: 3x - 4, x - 2
500
Complete the square to rewrite the equation in vertex form and state the vertex:
y=2x2 +28x+ 11
y=2(x+7)2 - 87
Vertex: (-7, -87)
500
Which method would be best to solve? (Quadratic Formula, Factoring, or Completing the Square?)
5x2+10x+11
Completing the Square! (discriminant is -120, so not a positive perfect square, and b is divisible by a and 2)
500
Solve using the quadratic formula:
y=2x2-5x+1
x = (5 +/- sqrt(17))/4