9.4-9.6 Flashcards Preview

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Flashcards in 9.4-9.6 Deck (20)
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1

cubic function

a polynomial function of degree 3

2

zero of a function

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

3

double zero

cubic function w/ a squared factor

4

triple zero

a cubic function w/ a cubed factor

5

y = (x - 2)3

6

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

7

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

8

steps to graph a cubic function on paper

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

 

9

steps to solve a cubic equation without graphing

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

10

how to solve cubic equations with calculator

1. input equation

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

11

square root of negative number

becomes i x pos. square root

12

parametric equation

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

13

parameter

3rd variable of a parametric equation

14

(parametrics) how to graph

1)  make a table of values (time, x, y)

2) graph using x & y

15

how to write an equation for y in terms of x

1) solve for t with either of the equations (preferably x)

2) substitute into the other equation not used in step 1, t

16

3-dimensional coordinate plane

17

how to find a coordinate on a coordinate plane

18

3D midpoint formula

(x1 + x2/2, y1 + y2/2, z1 + z2/2)

19

length of a diagonal of a rectangular prism

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

d = the square root of x2 + y2 + z2

20

3D distance formula

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