You start with this before applying any transformations.
What is the parent function?
100
f(x) = a(x-h)^2 +k
What is vertex form of a quadratic.
100
The factors of x^2 - 6x + 9
What is (x-3)(x-3)
100
The solutions to the equation (x -3)(x -2)=0
What is x = {3,2}
100
The average gas mileage m in a car is modeled by m(s) = -0.015(s-45)^2 + 35 where s is the car's speed in miles per hour. The average gas mileage m for an SUV is modeled by t(s) = -0.015(s - 45)^2 + 14. Describe the transformation from the car to SUV model.
What is a vertical translation of -21 mph.
200
A rhyme to help you remember that you do the opposite sign for x translations and the same sign for y translations
What is "Add to y go high, add to x, go left"
200
The formula for locating the x value of the vertex from a quadratic in standard form.
What is -b/2a
200
The factors of x^2 - 4
What is (x+2)(x-2)
200
The solutions to the equation x^2 -1 = 0
What is x = {-1,1}
200
A baseball is thrown up with a vertical velocity of 50 ft/s from an initial height of 6 feet. The height h in feet can be modeled by h(t) = -16t^2 + 50t + 6 where t is the time in seconds since the ball was thrown. Determine when the ball reaches it's maximum height and what that height is.
What is about 1.6 seconds and about 45 feet.
300
The equation of a quadratic function that has been moved 3 units to the right and 2 units down from the parent function.
What is f(x) = (x - 3)^2 - 2
300
This vertical line goes thru the vertex of the function's graph and the function is symmetric across it.
What is the axis of symmetry.
300
The factors of x^2 - 5x + 4
What is (x - 4)(x - 1)
300
The solution(s) to the equation x^2 - 10x + 25 = 0
What is x = {5}
300
A soccer ball is kicked from the ground upward with an initial vertical velocity of 32 ft/s. This is modeled by the equation h(t) = -16t^2 + 32t + 0. After how many seconds will the ball hit the ground?
What is 2 seconds.
400
The equation for a quadratic that has been reflected across the x axis, vertically stretched by a factor of 3 and horizontally shifted 2 units to the left.
What is f(x) = -3(x+2)^2
400
The place where f(x) = 3x^2 - 4x - 1 intercepts the y axis.
What is the point (0,-1)
400
The factors of 2x^2 + 5x - 3
What is (2x - 1)(x+3)
400
The solutions to the equation 2x^2 -x - 10 = 0
What is x = {2.5,-2}
400
A stuntwoman jumps from a building 73 feet high and lands on an air bag that is 9 feet tall. Her height above ground h in feet can be modeled by h(t) = 73 - 16t^2 where t is the time in seconds. How many seconds will she fall before touching the airbag?
What is 2 seconds.
500
The equation of a quadratic that has been reflected across the y-axis, horizontally stretched by a factor of 2, translated 3 units to the right and 1 unit up.
What is f(x) = (-.5x-3)^2+1
500
The possible values of y (the range) in the quadratic function f(x) = -x^2 -5
What is y <= -5
500
The factors of 8x^2 - 13x - 6
What is (8x+3)(x-2)
500
The solutions to the equation 12x^2 -17x - 5 = 0
What is x = {1.67, -.25}
500
A bald eagle snatches a fish from a lake and flies to an altitude of 256 feet. The fish squirms free and falls back down to the lake. It's fall is modeled by h(t) = 256 - 16t^2 where t is the time in seconds. How many seconds will the fish fall before hitting the water?