Vertex Form
Does the graph open up or down?
How do you know?
y = -2(x + 3)2 - 1
Down
a has a negative value
Label a, b and c
x2 + 2
a = 1
b = 0
c = 2
Does the graph open up or down?
-2(x + 3)(x - 6)
Down
What is a solution?
Where a graph crosses the x-axis. An x-intercept.
The Statue of Liberty was a gift to the US from what country?
France
What is the AOS of 0.3(x - 4)2 - 2
positive 4
Find the standard form of the following equation
(x - 4) (x - 1)
x2 - 5x + 4
Find the y-intercept (Write the coordinate)
(x +3)(x-10)
(0, -30)
Find the solution(s)
y = (x - 2)(x + 4)
x = 2 and -4
or
(2,0) and (4,0)
Who painted the Mona Lisa?
Leonardo Da Vinci
Given the function f(x) = -(x - 3)2 - 2 identify the following:
Vertex-
AOS-
Opens- (up or down)
y-intercept
Vertex- (3, -2)
AOS- 3
Opens- down
y-intercept - (0, -11)
Write and equivalent equation in factored form
x2 - 2x + 24
(x - 6)(x + 4)
Given an equation in factored form, how do you find the AOS?
Find the solution.
x2 - 6x +8
x = 4 and 2
or
(4,0) and (2,0)
How many planets are in our solar system?
8!
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
Graph the function
y = 3(x - 2)2
Vertex: (2,0)
Stretch: skinny
Given and equation in standard form, how do you find the AOS?
How do you find the y-intercept?
opposite b divided by 2a
Draw a graph of the function (x - 4) (x +2)
x-int: -2 and 4
AOS: 1
Vertex: (1, -8)
What are all THREE other names for a solution?
Roots, x-intercepts, zeros
Which continent is least populated?
Antarctica
What does the formula for vertex form look like?
EX. Formula for standard form is ax2 + bx + c
a(x-h)2+k
Graph(sketch) the following to the best of your ability
-2x2 +8x +4
AOS: -2
y-int: (0,4)
Stretches (Skinny)
Opens down
Write an equation in factored form that has ONE x-intercept at (4,0)
Multiple responses, but common (x - 4)(x - 4)
Find the solution.
4x2 - 3x -13
x = -1.5 and 2.2
or
(-1.5,0) and (2.2,0)
What are the names of all the oceans on Earth?
Pacific, Atlantic, Arctic Indian