Every quadratic equation has a U-shaped graph called this.
What is parabola?
Graph the equation. Must include vertex, and at least one point on each side. y=(x-5)(x-1)
What is graph on board?
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
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
When a quadratic equation is written in this form y = ax^2 +bx + c
What is the standard form?
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
This is the number before the x^2 that determines whether a parabola opens up or down.
What is the leading coefficient?
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
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
Name the vertex 2x^2 + 4x - 6 = 0?
What is (-1,-8)?
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