Standard Form
The standard form of a quadratic function.
What is y=ax2+bx+c
The vertex form of a quadratic function.
What is f(x)=a(x-h)2+k
The intercept form of a quadratic function
What is f(x)=a(x-p)(x-q)?
The arch of a rainbow is modeled by
h(x)=-20(x-100)2+500, where h(x) is the height of the rainbow in feet and x is the horizontal distance (in feet) from the start of the rainbow.
The maximum height of the rainbow.
500 feet
What is the average rate of change between x=2 and x=6 for the function f(x)=-x2+2x+4?
What is -6?
Does the function
f(x)= -3x2- x + 3 open up or down?
What is DOWN?
The vertex of
f(x) = 2(x-3)2 - 1
What is (3, -1)
The x-intercepts of f(x)=3(x-2)(x+3)
x= 2, -3
A ball is was thrown up with an initial velocity of 20m/sec from a 60 meter tower.The model for the vertical motion is h(t)=-5t2+20t+60.
At what time will the ball reach its maximum height?
What is 2 seconds?
A quadratic function has x-intercepts at x=1 and x=-2.
Another point on the graph is (0,-4)
The equation of the function (in intercept form) is...
What is f(x)=2(x-1)(x+2)?
The axis of symmetry for f(x)= -x2 - 4x + 1
What is x = -2?
The y-intercept of
f(x) = 3(x-2)2+5
What is 17?
The vertex of
f(x)=(x-3)(x+1).
What is (1,-4)
A ball is was thrown up with an initial velocity of 20m/sec from a 60 meter tower.The model for the vertical motion is h(t)=-5t2+20t+60.
What is the maximum height?
What is 80 meters?
The vertex of a quadratic function is at (-1, 4)
Another point is at (1,16)
The equation of the function (in Vertex Form) is ...
What is f(x)=3(x+1)2+4?
The y-intercept of f(x)= 3x2 - 8x + 4?
What is 4?
The vertex of f(x)=-(x+6)2+3 and is it is minimum or maximum point?
What is (6,3) Maximum point
The y-intercept of
f(x)= -2(x-3)(x-2)
what is -12?
The revenue from the sale of candy bars is modeled by r(x)=-2x2+16x where x is the number of candy bars produced and sold. What number of candy bars (x) will give you the maximum revenue?
What is 4?
Where are the solutions to systems of equations when looking at graphs of the functions?
The points where the graphs intersect
The vertex of f(x)=2x2 - 8x -10
What is (2,-18)
What is the axis of symmetry of f(x)=1/3(x+1)-7
What is x = -1?
The vertex of f(x)= -2(x+1)(x-5).
Does the graph open up or down?
What is (2,18)
Opens Down
The revenue from the sale of candy bars is modeled by r(x)=-2x2+16x where x is the number of candy bars produced and sold.
What is the maximum revenue?
What is $32?
The solution when a quadratic graph and a linear graph do not intersect.
What is no solution?