|
Quadratic Review
What is the name of the graph of a quadratic function?
What is the name of the graph of a quadratic function?
What is the name of the line that cuts the graph of a quadratic in half?
What is the name of the line that cuts the graph of a quadratic in half?
What is the name of the maximum or minimum of a quadratic function?
What is the name of the maximum or minimum of a quadratic function?
What is the vertex formula?
What is the vertex formula?
What is the set of all possible y-values called?
What is the set of all possible y-values called?
Solve this equation:
x2 = 49
Solve this equation:
x2 = 49
Solve this equation:
(2x+1)(x-3)=0
Solve this equation:
(2x+1)(x-3)=0
Solve the equation:
2x2+6=-26
Solve the equation:
2x2+6=-26
Solve this equation:
x2+6x+9=25
Solve this equation:
x2+6x+9=25
(x+3)2=25
√ both sides
x+3 = ±5
x=-3±5
x=-3+5=2 and x=-3-5=-8
x=2 and x = -8
Solve this equation:
0=2x2-7x-5
Solve this equation:
0=2x2-7x-5
Factor the expression:
x2-11x+24
Factor the expression:
x2-11x+24
Factor the expression:
x2-x-132
Factor the expression:
x2-x-132
Factor the expression:
25x2-4
Factor the expression:
25x2-4
Factor the expression:
2x2+23x+11
Factor the expression:
2x2+23x+11
Factor the expression:
3x2+13x-10
Factor the expression:
3x2+13x-10
What is the vertex of the parabola?
y=-0.5(x+4)2+6
What is the vertex of the parabola?
y=-0.5(x+4)2+6
Given: a=1
What is the equation of the parabola in vertex form?
Given: a=1
What is the equation of the parabola in vertex form?
Given: One x-intercept is (0.5,0) and a = 2.
What is the equation of the quadratic function in intercept form?
Given: One x-intercept is (0.5,0) and a = 2.
What is the equation of the quadratic function in intercept form?
y = 2(x - 0.5)(x - 5)
or
y = 2(2x - 1)(x - 5)
What are the coordinates of the x-intercepts of this quadratic function?
y=16x2 - 1
What are the coordinates of the x-intercepts of this quadratic function?
y=16x2 - 1
Solve: 0=16x2-1
(1/4, 0) and (-1/4, 0)
What is the Axis of Symmetry of this quadratic function?
y=3x2-7x
What is the Axis of Symmetry of this quadratic function?
y=3x2-7x
By Vertex Formula:
x=-(-7)/(2*3)
7/6
or
1.1667
What is the range of this parabola?
What is the range of this parabola?
What is the equation in standard form?
y=(x+4)2-1
What is the equation in standard form?
y=(x+4)2-1
y=(x+4)(x+4)-1
y=x2+4x+4x+16-1
y=x2+8x+15
What is the equation in standard form?
y=-(x-2)(x+10)
What is the equation in standard form?
y=-(x-2)(x+10)
y=-(x2+10x-2x-20)
y=-(x2+8x-20)
y=-x2-8x+20
What is the vertex form of the equation?
y=x2-10x+21
What is the vertex form of the equation?
y=x2-10x+21
y+c=(x2 -10x+c) +21
Find c: 1/2(10)=5→52=25=c
y+25 = (x2-10x+25)+21
y+25=(x-5)2+21
subtract 25 from both sides
y=(x-5)2-4
A parabola has a vertex of (1,-2) and passes through the point (0,0).
What is the equation of the parabola?
A parabola has a vertex of (1,-2) and passes through the point (0,0).
What is the equation of the parabola?
From the vertex we know:
y=a(x-1)2-2
From the point we know x & y:
0=a(0-1)2-2
0=a(-1)2-2
0=1a-2
2=a
Put "a" in the equation
y=2(x-1)2-2
Write an equation in vertex form that has a range of y≤5.
Write an equation in vertex form that has a range of y≤5.
Answers Vary.
Any parabola with a y-coordinate of the vertex of 5 and opens down.
| Team 1 |
 |
|
 |
|
| Team 2 |
|
|
|
|
|
| Team 3 |
|
|
|
|
|
| Team 4 |
|
|
|
|
|
| Team 5 |
|
|
|
|
|
| Team 6 |
|
|
|
|
|
| Team 7 |
|
|
|
|
|
| Team 8 |
|
|
|
|
|
| Team 9 |
|
|
|
|
|
| Team 10 |
|
|
|
|
|
What Would You Like To Risk?
| Team 1 |
|
|
|
|
|
| Team 2 |
|
|
|
|
|
| Team 3 |
|
|
|
|
|
| Team 4 |
|
|
|
|
|
| Team 5 |
|
|
|
|
|
| Team 6 |
|
|
|
|
|
| Team 7 |
|
|
|
|
|
| Team 8 |
|
|
|
|
|
| Team 9 |
|
|
|
|
|
| Team 10 |
|
|
|
|
|
Go To The Final Question
Final Score:
| Team 1 |
|
|
|
|
|
| Team 2 |
|
|
|
|
|
| Team 3 |
|
|
|
|
|
| Team 4 |
|
|
|
|
|
| Team 5 |
|
|
|
|
|
| Team 6 |
|
|
|
|
|
| Team 7 |
|
|
|
|
|
| Team 8 |
|
|
|
|
|
| Team 9 |
|
|
|
|
|
| Team 10 |
|
|
|
|
|
Edit This Game:
|
|
