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Vocabulary
Crossing the Line
Mountain High, or Valley Low
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Challenge Qs
100

Every quadratic equation has a U-shaped graph called this.

What is parabola?

100
Name the x-intercepts. y=2(x-2)(x+6)
What is (2,0) and (-6,0)?
100
Name the vertex y= (x-3)^2 +4
What is (3,4)?
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?

100

A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)= -16x² + 64x + 80. What is the maximum height of the rocket?

A) 150 feet B) 80 feet

C) 120 feet D) 144 feet

D) 144 feet

200
The highest or lowest point on a parabola.
What is the vertex?
200
Name the x-intercepts Y=(x)(x-2)
What is (0,0) and (2,0)?
200
y= (x+1)^2 - 8
What is (-1, -8)?
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?
200

A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)= -16x² + 64x + 80. How long will it take the rocket to hit the lake?

A) 5 seconds B) 8 seconds

C) 12 seconds D) 10 seconds

A) 5 seconds

300

When a quadratic equation is written in this form y = ax^2 +bx + c

What is the standard form?

300
Name the x-intercepts. y=x^2 - 4
What is (-2,0) and (2,0)?
300
y=(x+4)(x-4)
What is (0,-16)?
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
300

A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground x seconds after it is thrown is given by f(x) = -16x² - 4x + 382 How long after the rock is thrown is it 340 feet from the ground?

A) 2.256 seconds B) 1.50 seconds

C) 3.324 seconds D) .236 seconds

B) 1.5 seconds

400

This is the number before the x^2 that determines whether a parabola opens up or down.

What is the leading coefficient?

400
Name the x-intercepts y=x^2 - x - 2
What is (-1,0) and (2,0)?
400
Name the vertex x^2 - 4x - 5 = 0
What is (2,-9)?
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.
400

A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground x seconds after it is thrown is given by f(x) = -16x² - 4x + 382 How long after the rock is thrown does it hit the ground?

A) 12.256 seconds B) 11.50 seconds

C) 4.7324 seconds D) 7.236 seconds

C) 4.7 seconds

500

The line that runs through the vertex and divides the parabola in half.

What is axis of symmetry?

500
Name the x-intercepts. y= (x-1)^2 + 1
What is None?
500

Name the vertex 2x^2 + 4x - 6 = 0?

What is (-1,-8)?

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
500

In an effort to catch a criminal; a superhero is going to leap over a building and take a short cut down the ally. The function f(x) = -16x² + 150x gives the superhero's height in feet as a function of time. The building is 425 feet high. Will the superhero make it over the building?

A) Yes, the superhero always makes it!

B) No, the superhero can only jump half the height of the building

C) No, the superhero will crash into the building at 351 feet

D) No, the superhero can only jump 150 feet into the air

C)No, the superhero will crash into the building at 351 feet