General Knowledge
Parabola/parabolic
What is standard form? Write the equation or give an example.
y = ax2 + bx + c
To factor 8x2 – 4x, you would use what kind of factoring method?
Common factoring
Ms. M will show you a quadratic relation [y = (x - 1)(x + 3). What is the direction of the opening?
up
Ms. M will show you a table of values. Is it showing a linear or quadratic relation?
quadratic
What are the x-intercepts for y=(x-4)(x+2)?
x=4 and x=-2
-6x-9
Factoring is the opposite of...
Expanding
Ms. M will show you a quadratic relation [y = (x - 1)(x + 3). What are the roots/zeros?
x=1 and x=-3
Ms. M will show you a table of values. Is it opening up or down, or is it not a quadratic to begin with?
up
A Trinomial expression has how many terms?
3
Expand and simplify (x+1)(x+1)
x2+2x+1
Use a difference of squares to fully factor 4x2 - 16.
(2x-4)(2x+4)
Ms. M will show you a quadratic relation [y = (x - 1)(x + 3). What is the y-intercept?
y=-3
Ms. M will show you a table of values. Use the quadratic regression formula in Desmos to find the a, b, and c values and plug them into the standard form equation.
x2 - 4x + 3
The maximum number of roots/zeros a quadratic can have is...
2
Expand and simplify (2x + 2)(x + 5)
2x2+7x+10
Use common factoring to factor 36x2 + 81x.
9x(4x+9)
Ms. M will show you a quadratic relation [y = (x - 1)(x + 3)]. What is the vertex?
(-1, -4)
Ms. M will show you a graph of a rock being thrown into the water. If there is a 4ft tall buoy 18 ft from the shore did the rock hit the buoy? Explain your answer.
Yes, because the rock's path hits before the point (18,4) which is where the buoy is.
What is a difference of squares? Provide an example.
When you can factor a binomial by taking the square root of everything and separating them with a "+" and "-" sign because everything is a perfect square and separated with a "-". Ex. x2-81.
Explain what FOIL stands for and when you use it OR explain how to use the binomial distribution ("breaking it up") method with an example.
First Outside Inside Last, use it when two binomials are being multiplied by each other.
Break up the first binomial into two terms that each multiply into the second binomial separately. Use the distributive property to multiply in, and then simplify by collecting like terms.
Use simple trinomials to fully factor x2 + 5x - 24. What are the zeros of this equation?
(x+8)(x-3), zeros: x=-8 and x=3.
Ms. M will show you a quadratic relation [y = (x - 1)(x + 3)]. ANSWER ALL QUESTIONS. Is there a max or a min value? What is the PROPER equation for the max or min? What is the PROPER equation for the axis of symmetry?
min... y=-4. Axis of symmetry - x=-1
Ms. M will show you a question from the test. Use Desmos to help you answer the questions.
You should make -3 price increases to maximize profit.
This means that your original price of $12 should decrease 3x$0.50 = $1.50.
Your new price is $12 - $1.50 = $10.50.