Quadratic Functions (Graphing, Vertex, and Line of symmetry
Every quadratic equation has a U-shaped graph called this.
what is a parabola
y=(x+4)(x-4)
What is (0,-16)?
What is a function whose graph forms a straight line called?
linear function
Two lines are parallel if they have the same ______.
What is slope
Is the following growth or decay: f(x) = 2^x
What is growth
Name the vertex y= (x-3)^2 +4
What is (3,4)?
5x^2 + x - 1 = 0
What is standard form?
Write the equation in slope intercept form: slope=0, y intercept =-5
y=-5
If you have an equation written in standard form
like this:
2x + 6y = 12
How should you set up a table to quickly figure out
how to graph this equation?
Plug in a zero for x
and plug in a zero for y.
$1,200 is invested at an annual rate of 3.2%. How much money will the account have after 12 years?
$1751.21
y = - 1/2 (x + 7) - 4
What is vertex form?
Name the x-intercepts. y=x^2 - 4
What is (-2,0) and (2,0)?
Find the x and y intercepts of 3x+4y=24
x=8 and y=6
Your Gym membership charges 20 dollars a month, plus a fee of 10 dollar fee each time you take a kickboxing class.
Write an equation for to show how your total price (y) is a function of how many classes you take (x).
total price = 10 x (num. of classes) + 20
y = 10x + 20
Use y = 250(1.2)^t What is the growth rate?
What is 20%
y = 2(x-1)(x+7)
What is intercept form?
Name the x-intercepts y=x^2 - x - 2
What is (-1,0) and (2,0)?
Find the slope of (20,3000) and (60,2000)
What is -25
candle is burning. The height of the candle
is a function of the time the candle spends burning.
Is the slope of this function positive, negative, zero, or undefined?
NEGATIVE
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.
What is y = 2500(.985)^x
Graph the equation. Must include vertex, and at least one point on each side. y=(x+1)^2 - 2
what is graph on board
Name the x-intercepts. y= (x-1)^2 + 1
What is None?
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)
Point slope: y-2=3 (x-3) slope intercept: y=3x -7
Linear Function, Nonlinear Function, or NOT a function?
2x - 3y = 18
LINEAR FUNCTION
( (x^-2)(y^2) ) / ( (b^-4)(c^4) )
( (b^4)(y^2) ) / ( (c^4)(x^2) )