9.4-9.6

Question 1

cubic function

Answer 1

a polynomial function of degree 3

Question 2

zero of a function

Answer 2

value of x that makes y = 0 same as x-intercept

Question 3

double zero

Answer 3

cubic function w/ a squared factor

Question 4

triple zero

Answer 4

a cubic function w/ a cubed factor

Question 5

y = (x - 2)³

Answer 5

Question 6

y = (x - 2)²(x + 1)

Answer 6

Question 7

y = (x - 2)(x + 1)(x + 4)

Answer 7

Question 8

steps to graph a cubic function on paper

Answer 8

1. draw the x-intercepts
2. make a table with x-values left of the x-intercepts, b/w each of them, and to the right of them
3. solve for y

Question 9

steps to solve a cubic equation without graphing

Answer 9

1. put y on left side and set it to 0
2. find the GCF of the right side if possible and factor it out
3. if ax² + bx + c format, use quadratic formula

Question 10

how to solve cubic equations with calculator

Answer 10

1. input equation
2. find x-intercept (where y = 0)

Question 11

square root of negative number

Answer 11

becomes i x pos. square root

Question 12

parametric equation

Answer 12

equations where two variables are expressed in terms of a third variable.

Question 13

parameter

Answer 13

3rd variable of a parametric equation

Question 14

(parametrics) how to graph

Answer 14

1) make a table of values (time, x, y)
2) graph using x & y

Question 15

how to write an equation for y in terms of x

Answer 15

1) solve for t with either of the equations (preferably x)
2) substitute into the other equation not used in step 1, t

Question 16

3-dimensional coordinate plane

Answer 16

Question 17

how to find a coordinate on a coordinate plane

Answer 17

Question 18

3D midpoint formula

Answer 18

(x₁ + x₂/2, y₁ + y₂/2, z₁ + z₂/2)

Question 19

length of a diagonal of a rectangular prism

Answer 19

with edgesof length x, y, and z & a diagonal of length d

d = the square root of x² + y² + z²

Question 20

3D distance formula

Answer 20

d = square root of (x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²