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Vocabulary
Quadratic Formula
Crossing the Line
Parabolas Everywhere
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100
Every quadratic equation has a U-shaped graph called this.
What is parabola?
100
Solve using the quadratic formula. x^2 + 6x – 10 = 0
x= -7.36 x= 1.36
100
Name the x-intercepts. y=2(x-2)(x+6)
What is (2,0) and (-6,0)?
100
A cannonball is launch from a hill and the path of its path can be modeled by: y = -.02x^2+3x+19 This is the height of the ball when it is launched.
What is 19 feet?
100
Graph the equation. Must include vertex, and at least one point on each side. y=(x-5)(x-1)
What is graph on board?
200
The highest or lowest point on a parabola.
What is the vertex?
200
Solve using the quadratic formula. 2x^2 + 6x – 9 = 0
x= 1.0981 x= -4.0981
200
Name the x-intercepts Y=(x)(x-2)
What is (0,0) and (2,0)?
200
A peach drops from the top of a tree and the distance from the peach to the ground can be modeled by the equation h = -16t2 + 36, where h is the height from the ground, t is the time in seconds. How long will it take for the peach to reach the ground? Round your answer to the nearest tenth of a second.
t = 1.5 sec
200
Graph the equation. Must include vertex, and at least one point on each side. y = (x+2)(x-2)
What is graph on board?
300
When a quadratic equation is written in this form y = ax^2 +bx + c
What is the standard form?
300
6x^2 – 2x + 5 = 0
No real solutions.
300
Name the x-intercepts. y=x^2 - 4
What is (-2,0) and (2,0)?
300
How wide is a bridge to the nearest foot with the following equation: y=-.0014x^2+3x
2143 ft
300
Graph the equation. Must include vertex, and at least one point on each side. y=(x+1)^2 - 2
What is graph on board
400
This is the number before the x^2 that determines whether a parabola opens up or down.
What is the leading coefficient?
400
5x^2 – 2x = 1
x=-0.29 x=0.69
400
Name the x-intercepts y=x^2 - x - 2
What is (-1,0) and (2,0)?
400
If the path of a ball is -x^2 + 4x + 5 = 0. How high does the ball get?
9 feet
400
Graph the equation. Must include vertex, and at least one point on each side. y=(x-4)^2 + 3
What is graph on board.
500
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
500
Tell how many solutions the equation has without solving. 4x^2+3x-19=y and what is the discriminant?
2 solutions, 313
500
Name the x-intercepts. y= (x-1)^2 + 1
What is None?
500
Could a bridge with the equation y=-.001x^2+5x be built? Why of why not?
No. Vertex at 6,250 ft
500
Graph the equation. Must include vertex, and at least one point on each side. -x^2 -6x + 1 = 0
What is graph on board