Vocab
Transformations of Quadratic Functions
Graphing Quadratic Functions in Vertex Form
Graphing Quadratic Functions in Standard Form
100
Define a polynomial
An expression with multiple variables, coefficients, and constants
100
find g(x) were g(x) is the translation of 7 units down 6 units to the right
g(x)=1(x-6)2-7
100
Is this function stretched or compressed:
f(x)=1(x-2)2-1
It stays the same because a=1
100
find the y intercept of this equation:
f(x)=1x2+3x+8
The y-intercept is (0,8)
200
Define a function
a relationship or expression involving one or more variables
200
find g(x) were g(x) is the translation of 9 units up and 7 units left
f(x)=1(x+7)2+9
200
Find the x-intercept of the function:
f(x)=1(x-2)2-1
It is (1,0) and (3,0)
200
is this equation stretched or compressed:
f(x)=1x2+3x+8
not compressed or stretched because A=1
300
Define a Square Root
a factor of a number that, when multiplied by itself, gives the original number
300
find g(x) were g(x) is the translation of 3 units to the right and 10 units down
g(x)=1(x-3)2-10
300
Find the y-intercept of the function:
f(x)=1(x-2)2-1
It is (0,3)
300
Find the x-intercept of this function:
f(x)=1x2+3x+8
No x-intercept for this equation.
400
Define the coefficient
The number before the variable
400
find g(x) were g(x) is the translation of 2 units left and 6 units up
f(x)=1(x+2)2+6
400
Find the vertex of the function:
f(x)=1(x-2)2-1
It is (2,-1)
400
Find the Vertex of this equation:
f(x)=1x2+3x+8
the vertex for this equation is: -4,-14
500
Define a Geometric Sequence
a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed number
500
find g(x) were g(x) is the translation of 26 units to the right and 45 units down
g(x)=1(x-26)2-45
500
Find the Line of symmetry of the function:
f(x)=1(x-2)2-1
It is x=2
500
what is the line of symmetry for this equation:
f(x)=1x2+3x+8
the line of symmetry is : x=-1.5