Key
Features
Features
What does this function form represent/ tell you?
f(x)=(x-m)(x-n)
What is? This form represents the x-intercepts.
Convert the following function to standard form.
f(x)=(x+3)(x-2)
What is?
f(x)=x2+x-6
Jerod wants to purchase a gift for his math teacher, and she really likes Smiskis. He only has $31. The function g(x)=10(x-2)2-9 represents the number of Smiskis he can purchase based on the money he has. What is the maximum amount of Smiski's he buy his teacher?
What is? 4
Whenever you are given a function you must?
List all of the steps to: Enter a function to graph and get a table of values.
What is?
Click 'y=' then enter the function then hit '2nd' then 'graph'
What in the vertex form of a quadratic function represents the vertex?
What is? (h,k)
What is this function in standard form?
m(t)=(t+6)(3t+2)
What is?
m(t)=3t2+20t+12
Lauren is using the function h(t)=-10t2+25t+1 to represent the path her drone takes to survey the park. At what time does the drone reach its highest point? Round your answer to the nearest hundredth place.
What is? 1.25
Fill in the blank
Two lines intersect when they are _______ to each other.
What is? Equal
List all of the steps to: change your window.
What is?
Click 'window' and adjust x-min/max and y-min/max
What does the leading coefficient of a quadratic function tell you about the way it looks?
What is? The way it faces and how skinny it is.
Put this function in factored form
d(x)=4x2-3x-10
What is?
d(x)=(x-2)(4x+5)
The perimeter of a square garden is 100 feet. One side is increased by 2 feet while the other decreases by half a foot. What is the difference in the area of the gardens?
What is? 36.5 sq ft.
The square root (of a positive number) has how many solutions and what are they?
What is? 2, one positive and one negative.
List all of the steps to: Find the x-int(s) of a function.
What is?
Click 2nd, then trace, go to '2: zero' find the left bound, enter, right, bound, enter, guess, enter.
What form of a quadratic function tells you the y-intercept of a function and what coefficient in that function represents the y-intercept?
What is? Standard form and the c-value.
Convert the following function to standard form.
g(x)=a(2x-3)2+4x-3
What is?
g(x)=4x2-8x+6
A farmer entered a contest to see who could grow the most intricate pumpkin patch. He remembered in geometry class that a hexagon is six equilateral triangles, so he planned to plant six different crops. He wants the base of each crop to be twice the height of that crop's space. If the competition only allows farmers to use 54 sq yards of land, what is the height for one of the farmer's crops, in feet?
Double Jeopardy!!!!!!!! What is the perimeter of the garden? in any unit of your choosing.
What is? 9 feet.
What is? 36 yards or 108 feet.
What is the discriminant and what does it tell us?
What is?
b2-4ac and how many real roots there are.
List all of the steps to: Find the vertex of a function
When do you choose 3 versus 4?
What is?
Click '2nd', then 'Trace', go to '3: minimum' or '4: maximum',go to a left bound point hit enter, go to a right bound point hit enter,
Identify the a,b, and c-value of the following function.
f(x)=(2x-3)(-x+4)
What is?
a=-2
b=11
c=-12
What is j(x)=3x2-9x+12 in vertex form?
What is?
3(x-1.5)^2+21/4
Fill in the blanks
The location between two x-intercepts represents the axis of ________ that goes through the _______.
What is? symmetry and vertex.
List all of the steps to: Find the point(s) of intersection of two functions.
What is?
Click '2nd', then 'Trace', go to '5: intersect', go to the point on y1, hit enter, go to the point on y2, hit enter, guess, and hit enter.