Midterm #1 Flashcards
Even function parity definition
f(-x)=f(x)
Odd function parity definition
f(-x)=-f(x)
What is the only function that is both even and odd?
Zero/constant function
What is the formula for linear functions?
y=ax+b
What is the standard form for transformations?
Af(B(x-h))+k
What is the transformation A on the standard form?
Vertical stretch/shrink
What if A in standard form is negative, what is the transformation?
Vertical stretch/shrink AND vertical reflection
What is the transformation for k in standard form?
Vertical shift
What is the transformation for B in standard form?
Horizontal stretch/shrink
What if the transformation for B is negative in standard form?
Horizontal stretch/shrink AND horizontal reflection
In standard form if B = 1/2 what are you horizontally stretching it by?
2
In standard form if B = 2 what are you horizontally stretching it by?
1/2
What is the transformation for h in standard form?
Horizontal shift
When doing transformations are you supposed to do vertical or horizontal first?
Vertical
Vertical stretch by 2 (what do you multiply/add to y/x)
Multiply y-coord by 2
Vertical shift down by 5 (what do you multiply/add to y/x)
Subtract 5 from y-coord
Vertical reflection by -1 (what do you multiply/add to y/x)
Multiply y-coord by -1
Horizontal stretch by -4 (what do you multiply/add to y/x)
Multiply y-coords by -1/4
Horizontal shift right by 4 (what do you multiply/add to y/x)
Add 4 to x-coords
What is the formula for the midline?
y=1/2(max output + minimum output)
What is the formula for amplitude?
y=1/2(max output - minimum output)
What is the pythagorean theorem?
a^2 + b^2 = c^2
What does the CAH in SOHCAHTOA stand for?
Cos(θ) = adjacent / hypotinus
What does the SOH in SOHCAHTOA stand for?
Sin(θ) = opposite / hypotinus
What does the TOA in SOHCAHTOA stand for?
Tan(θ) = opposite / adjacent
What is the pythagorean identity formula?
(cos(θ))^2 + (sin(θ))^2 = 1
What is the area of a triangle?
1/2(base)(height)
Is cos(θ) the x or y coord?
x-coord
Is sin(θ) the x or y coord?
y-coord
Is -f(x) vertical or horizontal?
Vertical
Is f(-x) vertical or horizontal?
Horizontal
Do vertical functions affect y-coords or x-coords?
y-coords
Do horizontal functions affect y-coords or x-coords?
x-coords
