Key Features
Transformations from Graphs
Transformations from Equations
Word Problems
Random
100
The Domain for any quadratic function
What is all real numbers?
100
The transformation from the parent function to the graph on the image below:
What is a horizontal shift left 2 units?
100
The transformation that occurs in the quadratic function
f(x)=x^2+3
What is a vertical shift up 3 units?
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. How many seconds will it take the rocket to hit the lake?
5 seconds
100
What key feature helps you identify the maximum height of an object that has been thrown into the air?
Be Specific!
y-value of the Vertex
200
The point at which the parabola changes direction
What is the vertex?
200
The transformation that occurs from the parent function to the graph below
What is a vertical shift down 3?
200
The transformation that occurs in the quadratic function
f(x)=(x-3)^2
What is a horizontal shift right 3 units?
200
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?
Nope, his max height would be approx. 351 feet
200
What key feature helps you identify the total time it takes since an object was thrown until it reaches the ground.
Domain
300
A vertical line that slices the parabola in half. Its equation is written as x= , where x is the x value of the vertex
What is the axis of symmetry?
300
The transformations that occur from the parent function to the graph below
What are a horizontal shift right 3 and a vertical shift down 2?
300
The transformation that occurs in the quadratic function
f(x)=2x^2
What is a vertical stretch of 2?
300
A model rocket is launched from the roof of a building. Its flight path is modeled by h = −5t2 +30𝑡 + 10 Where h is the height of the rocket above the ground in meters and t is the time after the launch in seconds. What is the rockets max height?
55 meters
300
Convert to vertex form: x2 + 12x + 32
y = (x+6)2 - 4
400
What is the interval of increase?
(0, 31.8)
400
The transformations from the parent function to the graph below
What are a horizontal shift left 5 units and a vertical shift up 1 unit?
400
The Transformations that Occur in the Quadratic Function
f(x)=1/3(x+2)^2-4
What are a vertical compression of 1/3, a horizontal shift left 2, and a vertical shift left down 4?
400
Devin is practicing golf at the driving range. The equation that represents the height of his ball is s= -0.5t2+ 12t, where s = distance in feet and t = time in seconds
If the ball is 31.5 feet in the air, how many seconds have gone by?
3 seconds
400
Determine the number of solutions for the quadratic
y = (x+5)2 + 11
NRS
500
What is the axis of symmetry?
x = 20
500
The transformations from the parent function to the graph shown below
What are a reflection over the x-axis, a horizontal shift right 3 units, and a vertical shift up 2 units?
500
The transformations that occur in the quadratic function
f(x)=-5(x-3)^2+6
What are a reflection across the x-axis, a vertical stretch of 5, a horizontal shift right 3 units, and a vertical shift up 6 units?
500
The length of a rectangular field is 2m greater than three times its width. The area of the field is 1496 m2. What are the dimensions of the field?
Width: 22m
Length: 68m
500
Which throw took the least amount of time to hit the ground?
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