pre calc 2.1-2.4 terms

Question 0

Vertex of standard form

Answer 0

(H,k) of standard form

Question 1

Standard form of a quadratic

Answer 1

f(x) = a (X-h)^2 + K

Question 2

When does a function have a minimum?

Answer 2

When A > 0

*use -b / 2a

Question 3

When does a function have a maximum?

Answer 3

When a < 0

*use -b / 2a

Question 4

Linear, constant, and squaring functions are all types of

Answer 4

Polynomial functions

Question 5

What is the graph of a quadratic?

Answer 5

Parabola

Question 6

How do you complete the square?

Answer 6

1. Write in standard form 2. Group terms and factor out “a” 3. Add half of “b” term squared 4. Balance function 5. Factor trinomial better be perfect 6. Rewrite equation

Question 7

All polynomial functions are

Answer 7

Continuous and curvy

Question 8

For odd functions…

What do the left and right do as the leading coefficient is positive?

Answer 8

Left goes down and right goes up!

Question 9

For odd functions…

What do the left and right do as the leading coefficient is negative?

Answer 9

Left does up, right goes down!

Question 10

For even functions…

What do the left and right do as the leading coefficient is positive?

Answer 10

Both sides go up!

Question 11

For even functions…

What do the left and right do as the leading coefficient is negative?

Answer 11

Both sides go down!

Question 12

Zeroes, solutions, factors, X intercepts and roots are

Answer 12

ALL THE SAME

Question 13

What is the intermediate value theorem?

Answer 13

An EXISTENCE theorem that says if there’s a point greater than 0 and another point less than 0, there’s at least one X intercept between!

Question 14

How do you find the number of turning points?

Answer 14

Degree minus one

Question 15

Fraction using integers; decimal repeats or terminates

Answer 15

RATIONAL

Question 16

Never repeats, example Pi

Answer 16

IRRATIONAL

Question 17

Repeated zeros:

(X - A) ^k, k > 1

Answer 17

ODD # OF K: goes THROUGH

EVEN # OF K: TOUCHES…

Question 18

What is the division algorithm?

Answer 18

F(X) = d (X) q (X) + r (X) 
Dividend = divisor X quotient plus remainder

Question 19

What is the alternate form of division?

Answer 19

Dividend Remainder
——— = quotient + ———–
Divisor Divisor

Question 20

You can only use synthetic when the divisor is

Answer 20

LINEAR

Question 21

What is the remainder theorem?

Answer 21

If a polynomial f(k) is divided by X-k then the remainder is r= f(k)

Question 22

What is the factor theorem?

Answer 22

If a polynomial f(k) has a factor (X-k) if and only if f(k) = 0

Question 23

When you have a positive number and get all positive numbers, you have an

Answer 23

Upper bound (so don’t test numbers higher than that)

Question 24

When you have a negative number and get all negative numbers, it’s called a

Answer 24

Lower bound (so don’t try numbers below that)

Question 25

When the decree on top is larger than the denominator’s decree, it’s

Answer 25

IMPROPER

Question 26

Standard form of a complex number

Answer 26

A + Bi

Question 27

What are the two parts of a complex number?

Answer 27

A = real number
Bi = imaginary

Question 28

What is a conjugate?

Answer 28

The same expression just with a sign change

Question 29

How do you solve with negative square roots?

Answer 29

Change into imaginary (square root then i) and solve perform operation