Save or or taken why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

focusNode
Didn't know it?
click below

Knew it?
click below
Don't know
Remaining cards (0)
Know
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size     Small Size show me how

What is the Standard Form formula? f(x)=ax² + bx + c where y=0
What is the Factored Form formula? f(x)=a(x-rsub1)(x-rsub2)
What is the Vertex Form formula? f(x)=a(x-h)²+k
Standard Form: Axis of Symmetry x=-b/2a
Standard Form: X-Intercept(s) -b plus or minus the square root of b² minus 4ac, all over 2a.
Standard Form: Concavity "a" value +=opens up -=opens down
Standard Form: Vertex Use axis of symmetry to find x-coordinate, substitute into equation for x and solve for y.
Standard Form: Y-Intercept The c in the Standard Form equation.
Factored Form: Axis of Symmetry rsub1 + rsub2 then divided by 2
Factored Form: X-Intercept(s) (rsub1,0)(rsub2,0)
Factored Form: Concavity "a" value +=opens up -=opens down
Factored Form: Vertex Use axis of symmetry to find x-coordinate, substitute into equation for x and solve for y.
Factored Form: Y-Intercept Plug in x=0 and solve for y.
Vertex Form: Axis of Symmetry x=h
Vertex Form: X-Intercept(s) 1) Plug in y=0 2) -factor -calculator -quadratic formula
Vertex Form: Concavity "a" value +=opens up -=opens down
Vertex Form: Vertex (h,k)
Vertex Form: Y-Intercept Plug in x=0 to find y-intercept
Vertical Compression The squeezing of a graph towards the x-axis (A>OR=1)
Vertical Stretch The stretching of the graph away from the x-axis(0<A<1)
The coordinate notation represented in y=Af(x-C)+D (x,y) -> (x+C, Ay+D)
Horizontal Dilation A type of transformation that stretches or compresses the entire graph
Horizontal Stretching The stretching of a graph away from the y-axis 0<|B|<1
Reflection of a graph A mirror image of a graph across its line of reflection
Line of reflection The line that graph is reflected across
Vertical Dilation A type of transformation that stretches or compresses an entire figure or graph
Horizontal Compression The squeezing of a graph towards the y-axis (|B|>1)
af(B(x-C))+D "A" affects y (multiply) "B" affects x "opposite" (multiply) "C" affects x "opposite" (+/-) "D" affects y (+/-)
The coordinate notation represented in y=Af(B(x-C))+D (x,y) -> (1/B(x)+C,Ay+D)
Imaginary Number i A number such that i²= -1. No real number exists such that its square is equal to a negative number, the number "i" is not a part of the real number system
i= i= √(-1)
i²= i²= -1
i^3= i^3= -√(-1)
i^4= i^4= 1
Set of Imaginary Numbers The set of all numbers written in the form a+bi, where a and b are real numbers and b is not equal to 0
Pure Imaginary Number A number of the form bi, where b is not equal to 0
Set of Complex Number The set of all numbers written in the form a+bi, where a and b are real numbers
Real Part of a complex Number Term "a" for a+bi in a set of complex numbers
Imaginary Part of a Complex Number Term "b" for a+bi in a set of complex numbers
If a number is an imaginary number, then it is _____ a complex number. -Always -Sometimes -Never If a number is an imaginary number, the it is always a complex number
If a number is a complex number, then it is _____ an imaginary number. -Always -Sometimes -Never If a number is a complex number, then it it sometimes an imaginary number.
If a number is a real number, then it is ____ a complex number. -Always -Sometimes -Never If a number is a real number, then it is always a complex number.
If a number is a real number, then it is ____ an imaginary number. -Always -Sometimes -Never If a number is a real number, then it is never an imaginary number.
If a number is a complex number, then it is ____ a real number. -Always -Sometimes -Never If a number is a complex number, then it is sometimes a real number.
Complex Conjugates Pairs of numbers of the form a+bi and a-bi. The product of a pair of complex conjugates is always a real number and equal to a²+b²
Monomial A polynomial with one term
Binomial A polynomial with two terms
Trenomial A polynomial with three terms
Fundamental Theorem of Algebra Any polynomial equation of degree n must have exactly n complex roots or solutions
Double roots The 2 real roots, ex.: If the graph of a quadratic function f(x) has 1 x-intercept, the equation f(x)=0 still has 2 real roots
y=f(x)+D -D>0 What type of Transformation? Vertex moves up D-units
y=f(x)+D -D<0 What type of transformation? Vertex moves down D-units
y=f(x-C) -C>0 What type of transformation? Vertex moves to the right
y=f(x-C) -C<0 What type of transformation? Vertex moves to the left
y=Af(x) -|A|>1 What type of transformation? Vertical stretch
y=Af(x) -0<|A|<1 What type of transformation? Vertical compression
y=Af(x) -A<1 What type of transformation? Reflection across x-axis
y=f(Bx) -|B|>1 What type of transformation? Horizontal compression
y=f(Bx) - 0<|B|<1 What type of transformation? Horizontal stretch
y=f(Bx) - B<0 What type of transformation? Reflection across y-axis
Translation A type of transformation that shifts an entire figure or graph the same distance and direction
Created by: 100000053823420

Voices

Use these flashcards to help memorize information. Look at the large card and try to recall what is on the other side. Then click the card to flip it. If you knew the answer, click the green Know box. Otherwise, click the red Don't know box.

When you've placed seven or more cards in the Don't know box, click "retry" to try those cards again.

If you've accidentally put the card in the wrong box, just click on the card to take it out of the box.

You can also use your keyboard to move the cards as follows:

• SPACEBAR - flip the current card
• LEFT ARROW - move card to the Don't know pile
• RIGHT ARROW - move card to Know pile
• BACKSPACE - undo the previous action

If you are logged in to your account, this website will remember which cards you know and don't know so that they are in the same box the next time you log in.

When you need a break, try one of the other activities listed below the flashcards like Matching, Snowman, or Hungry Bug. Although it may feel like you're playing a game, your brain is still making more connections with the information to help you out.

To see how well you know the information, try the Quiz or Test activity.

# Pass complete!

 "Know" box contains: Time elapsed: Retries:
restart all cards