Factored Form
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0. (Hint: What would make each pair of parenthesis equal to zero)
x = 7 x = -2
or x = { 7, -2}
When solving quadratic equations, we are trying to find what feature of the parabola?
x-intercepts/ zeroes/ roots
A quadratic equation looks like this letter of the alphabet when graphed.
U-shaped.
Evaluate the product and sum of 2 & 4.
Product = 8
Sum = 6
Today, is actually considered Star Wars Day. Today is...
An additional 100 points if you know the phrase.
May the FOURTH be with you!
Monday
May 4th
Put this (x - 1)(x + 3) in standard form. HINT (Use either Box/FOIL Method)
x2 + 2x - 3
If given a quadratic expression in factored form, how can you turn it into standard form?
Box Method or FOIL Method
What is the name of the graph for quadratic equations?
A parabola
Evaluate the product and sum of -2 & 4.
Product is -8
Sum is 2
On the last Monday of this month the United States honors military personnel who died in service.
Memorial Day
Put this (x - 8)(x + 3) in standard form. HINT (Use either Box/FOIL Method)
x2 - 5x - 24
True or False: When a quadratic equation is written in standard form it has parenthesis.
False
This is the point where a quadratic function crosses the y-axis.
y-intercept
True or False: When you multiply a negative by a negative you get a positive but when you add the same two numbers you get a negative.
Example: -2 * -2 = ? but -2 + -2 = ?
True
Traditionally, we celebrate and honor this parent on the second Sunday of May. This holiday is called...
Mother's Day
Put this (x - 2)(x + 9) in standard form. HINT (Use either Box/FOIL Method)
x2 + 7x - 18 = 0
It is easier to find this ordered pair/point in standard form when x=0.
y-intercept.
This is the point where a quadratic function crosses the x-axis. It can cross the x-axis no more than twice.
x-intercepts, the roots, or the zeroes
Evaluate the product and sum of -3 & 3.
Product = -9
Sum = 0
While it is a relatively minor holiday in Mexico, it has evolved in the United States into a widespread celebration of Mexican-American heritage, culture, food, and music.
Cinco de Mayo
Given the x-intercepts x = -2 & x = 4, the factored form for the quadratic would be...
(x + 2) (x - 4) = 0
Put this (x + 3)2 in standard form. HINT (Use either Box/FOIL Method)
x2 + 6x + 9
This point is the center of a parabola and can be a maximum or minimum, or the turning point of the graph.
Vertex
Two numbers that have a product of -20 and a sum of 1.
What is -4 & 5?
To alert danger or an emergency call, this French phrase "m'aider" (meaning "help me") is repeated three times by military personnel or police & fire departments.
Mayday! Mayday! Mayday!