Midterm #1

Question 1

Even function parity definition

Answer 1

f(-x)=f(x)

Question 2

Odd function parity definition

Answer 2

f(-x)=-f(x)

Question 3

What is the only function that is both even and odd?

Answer 3

Zero/constant function

Question 4

What is the formula for linear functions?

Answer 4

y=ax+b

Question 5

What is the standard form for transformations?

Answer 5

Af(B(x-h))+k

Question 6

What is the transformation A on the standard form?

Answer 6

Vertical stretch/shrink

Question 7

What if A in standard form is negative, what is the transformation?

Answer 7

Vertical stretch/shrink AND vertical reflection

Question 8

What is the transformation for k in standard form?

Answer 8

Vertical shift

Question 9

What is the transformation for B in standard form?

Answer 9

Horizontal stretch/shrink

Question 10

What if the transformation for B is negative in standard form?

Answer 10

Horizontal stretch/shrink AND horizontal reflection

Question 11

In standard form if B = 1/2 what are you horizontally stretching it by?

Answer 11

2

Question 12

In standard form if B = 2 what are you horizontally stretching it by?

Answer 12

1/2

Question 13

What is the transformation for h in standard form?

Answer 13

Horizontal shift

Question 14

When doing transformations are you supposed to do vertical or horizontal first?

Answer 14

Vertical

Question 15

Vertical stretch by 2 (what do you multiply/add to y/x)

Answer 15

Multiply y-coord by 2

Question 16

Vertical shift down by 5 (what do you multiply/add to y/x)

Answer 16

Subtract 5 from y-coord

Question 17

Vertical reflection by -1 (what do you multiply/add to y/x)

Answer 17

Multiply y-coord by -1

Question 18

Horizontal stretch by -4 (what do you multiply/add to y/x)

Answer 18

Multiply y-coords by -1/4

Question 19

Horizontal shift right by 4 (what do you multiply/add to y/x)

Answer 19

Add 4 to x-coords

Question 20

What is the formula for the midline?

Answer 20

y=1/2(max output + minimum output)

Question 21

What is the formula for amplitude?

Answer 21

y=1/2(max output - minimum output)

Question 22

What is the pythagorean theorem?

Answer 22

a^2 + b^2 = c^2

Question 23

What does the CAH in SOHCAHTOA stand for?

Answer 23

Cos(θ) = adjacent / hypotinus

Question 24

What does the SOH in SOHCAHTOA stand for?

Answer 24

Sin(θ) = opposite / hypotinus

Question 25

What does the TOA in SOHCAHTOA stand for?

Answer 25

Tan(θ) = opposite / adjacent

Question 26

What is the pythagorean identity formula?

Answer 26

(cos(θ))^2 + (sin(θ))^2 = 1

Question 27

What is the area of a triangle?

Answer 27

1/2(base)(height)

Question 28

Is cos(θ) the x or y coord?

Answer 28

x-coord

Question 29

Is sin(θ) the x or y coord?

Answer 29

y-coord

Question 30

Is -f(x) vertical or horizontal?

Answer 30

Vertical

Question 31

Is f(-x) vertical or horizontal?

Answer 31

Horizontal

Question 32

Do vertical functions affect y-coords or x-coords?

Answer 32

y-coords

Question 33

Do horizontal functions affect y-coords or x-coords?

Answer 33

x-coords