What's the Difference?
A Standard Affair
Turning Points
Expand Your Horizons
Parabola Glow Up
100
If we want to see if a data set is quadratic, which differences need to be the same?
2nd differences
100
In ax2+bx+c form, what does the C value give us?
Y-intercept
100
How can we find the vertex of y=a(x-h)2+k ?
(h, k)
100
What are the two methods we can use to multiply binomials?
FOIL and the Box Method
100
What does changing the 'h' value do?
Horizontal shift left or right
200
What does the word difference mean in math?
Subtraction
200
What does the sign of the 'a' value tell us?
Direction of opening
200
For y= -(x-2)2+4, what is the vertex?
(2,4)
200
Expand y=(x+3)2
y=x2+6x+9
200
What does changing the 'k' value do?
Vertical shift up or down
300
What are the 3 possible option that we can get when we are looking at 1st and 2nd differences?
Linear, quadratic, or neither.
300
What is the 'a' value of y=-2x2-6 ?
-2
300
What does the 'a' value control?
Direction of opening and stretch/compression
300
Convert the following from vertex to standard form:
y=2(x-4)2+1
y=2x2-16x+33
300
Describe the transformations between y=x2 and
y=(x-3)2+2
Horizontal shift right 3
Vertical shift up 2.
400
How can we use differences to tell if a data set is linear?
First differences are the same.
400
What is the y-intercept of y=3x2+3x+5?
(0,-5)
400
In y=2(x+1)2-3, what is the vertex and direction of opening?
(-1,-3), opens upwards
400
Convert the following from vertex to standard form:
y=-(x+2)2+5
y= -x2-4x+1
400
Describe the transformations between y=x2 and
y= -2(x-1)2
Reflected over the x-axis (opens downwards)
Horizontal shift right by 1.
500
Is this linear, quadratic, or neither?
Quadratic
500
What is the minimum/maximum of y=2x2+4x-5 ?
Minimum of -7
500
For y=3x2-2, what is the equation of the axis of symmetry?
x=0
500
Convert the following from vertex to standard form:
y=0.5(x-6)2-2
y=0.5x2-6x+16
500
Describe the transformations between y=x2 and
y=0.5(x-4)2-5
Compressed by factor of 0.5
Horizontal shift right 4
Vertical shift down 5