Vocabulary
What is the vertex?
The turning point of a parabula.
Write an example of vertical transformation of y= x2?
y=x2+ #
y=x2-#
What are the factors with zeros at (9,0) and (3,0)?
(x-9) (x-3)
squareroot(80)
4 root(5)
Using the Quadratic Formula
x2+5x-6
x=-6
x=1
What is the domain?
the x-values (left to right)
What transformation happened to y=x2 to have
y=(x-4)2?
Right 4
What are the factors with zeros at (7,0) and (-2,0)?
(x-7) (x+2)
squareroot (178)
2 root(47)
Using the Quadratic Formula
3x2+5x-6
[-5+ root(97)]/6
[-5- root(97)]/6
What is the range?
the y-values (bottom to top)
Draw a reflection of y=x2
See board
Write a quadratic with zeros at (-2,0) (-3,0)
x2+5x+6
squareroot(248)
4 root(2)
f(x)= x(x+8)(5-5x)
x= 0
x= -8
x= 1
What is the Axis of symmetry of y= x2+4x+2?
x=-2
what is vertex form?
y= a(x-h)2+k
Write a quadratic with zeros at (-2,0) (5,0)
x2 - 3x - 10
squareroot(198)
3 root(22)
Complete the square
x2+4x+4=0
x=-2
How many names for zeros are there and what are they?
zeros
x-intercept
roots
solutions
what transformations happened to y=x2 to get
y=3(x-4)2-1?
Stretch 3
Right 4
down 1
Write a quadratic with zeros at (-4,0) (8,0)
x2 - 4x- 32
squareroot (1440)
24 root(5)
Complete the square:
x2+18x+40=0
x=-9 + root(41)
x=-9 - root(41)