Transformations
Solving Quadratics
Factored Form
Quadratic Models
Amped Up Quadratics
100
This is a graph of what function?
y = lxl
100
Solve for x.
2(x-3)2+1=33
x={-1,7}
100
Factor
x2-25
(x+5)(x-5)
100
Say I dropped a ball out the window of Mr. Deane's classroom.. The balls height h in meters, t seconds after it's dropped is given by h(t) = -4.9t2+7
Find the vertex of the graph.
(0, 7)
100
Solve by pulling out the greatest common factor
4x2+28x+40
4(x+5)(x+2)
200
This is the graph of what function?
y=x2-4
200
Solve using the zero product property.
(x-2)(x+7)=0
x={-7,2}
200
Given (x-5)(x+2), what are the x-intercepts of this parabola?
-2, 5
200
Say I dropped a ball out the window of Mr. Deane's classroom.. The balls height h in meters, t seconds after it's dropped is given by h(t) = -4.9t2+7
What is the balls height after 0.5 seconds?
5.78 meters
200
What would c have to be in order to make this trinomial a perfect square?
x2-8x+c
16
300
Describe the transformation of the parent function y=x2 given by the function y=-(x-5)2+2
Reflected over the x-axis, right 5, up 2
300
Solve for x algebraically.
(x-4)2-4=0
x={2,6}
300
Factor
x2+7x-18
(x+9)(x-2)
300
Say I dropped a ball out the window of Mr. Deane's classroom.. The balls height h in meters, t seconds after it's dropped is given by h(t) = -4.9t2+7
At what time does the ball hit the ground?
1.19 seconds
300
Solve by completing the square
x2+6x+c=16
x={-8,2}
400
Describe the transformation on the parent function y=lxl given by y=lx+2l-7
Left 2, down 7
400
Solve algebraically
x2-49=0
x={7,-7}
400
Expand this quadratic into general form
(2x+3)(3x+1)
6x2+11x+3
400
Given the equation y=(x+2)(x-8)
Use the zeros to calculate the x and y coordinates of the vertex
(3,-25)
400
Solve using the quadratic formula. Show your work.
x2+2x-8
x={-2,4}
500
Where is the vertex of y=(x-2)2+6 ?
(2,6)
500
Solve using the zero product property.
(3x+2)(x-6)
x={6, -2/3}
500
Factor the following
3x2-11x-4
(3x+1)(x-4)
500
Write the equation of a parabola with no stretch or shrink in vertex form, given its vertex is at (-4,7)
y=(x+4)2+7
500
Factor
3x2-x-10
(3x+5)(x-2)