Transformations
g(x)=f(-x) is what kind of transformation?
Flips the function over the y-axis
When graphing a polynomial, when does the function bounce off the x-axis?
When there is an even multiplicity for the zero
Who just got elected as the Maryland Governor?
Larry Hogan
What does HUSHI stand for?
Holes
Vertical asy.
Slant
Horizontal asy.
Intercepts
Find f(g(x)):
f(x)=x+8
g(x)=x-3
f(g(x))=x+5
When describing transformations, how does "a" affect a function?
The a value
can flip a function over the x-axis
can give a function a vertical stretch
can give a function a vertical compression (when between -1 and 1)
What is the standard form of a quadratic function?
f(x)=a(x-h)^2+k
What artist had the Global and US Spotify record for biggest single day for female artist in Spotify history?
Ariana Grande
Find the equation for the vertical asymptote:
f(x)=(x^3)/(x^2-x)
x=1, x=0
When do you use the sign test?
When the inequality is nonlinear
Refer to Desmos graph. What is the equation of the graph?
y=3*sqrt{x+1)-2
Complete the square:
f(x)=2x^2+8x+7
f(x)=2(x+2)^2-1
Which NFC East football team has the most wins at this point in time?
Washington Redskins :)
Find the slant asymptote:
f(x)=(x^2-x+1)/(x-1)
y=x
What symmetry does this function have?
x^2-y=0
symmetry over y-axis
What are the transformations of the function below IN ORDER (use vocabulary!)?
f(x)=2* (1/(-x+2))-3
1. Horizontal shift to the left 2 units. 2. Flip over the y-axis. 3. Vertical stretch by 2. 4. Vertical shift down 3 units.
Use Synthetic Division to divide:
6x^3-19x^2+16x-4 by x-2
p(x)= 6x^2-7x+2
What does the company Nike do with your old shoes?
Hint: The recycled material is called Nike Grind
Turns them into tracks and playground for kids
Solve for x:
(x+12)/(x+2) > 0
x >-2
Find the inverse
f(x)=sqroot(2x-3)
y=(x^2+3)/2, x> or equal 0
Graph this polynomial:
f(x)= x(x+2)^3(x-1)^4(x+5)^5
Check Ms. Hill's paper
True or False: Must get all 3 right!
1. The average person spends 6 months of their lifetime waiting on a red light to turn green.
2. A human will eat on average 70 assorted insects and 10 spiders while sleeping.
3. Coca-Cola would be green if coloring wasn’t added to it.
T F T
Graph the rational function below:
f(x)=(2x+3)/(x+2)
Find a cubic polynomial function f with real coefficients that has 2 and 1-i as zeros and f(1)=3.
=a(x^3-4x^2+6x-4)
Final: -3x^3+12x^2-18x+12