Question

Which statement best describes the graph of x3 - 3x2 - x + 3?

It starts down on the left and goes up on the right and intersects the x-axis at x = -1, 2, and 3.

It starts down on the left and goes up on the right and intersects the x-axis at x = -1, 1, and 3.

It starts up on the left and goes down on the right and intersects the x-axis at x = -1, 2, and 3.

It starts up on the left and goes down on the right and intersects the x-axis at x = -1, 1, and 3.

Answer 1

@jdoe0001 I know it's either B or D however I dont know which

Answer 2

hmmm are you supposed to use a graphing calculator or not?

Answer 3

Yea I used desmos

Answer 4

@Jbo11 what do you think

Answer 5

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4XjMtM3heMi14KzMiLCJjb2xvciI6IiNEQjE4MTgifSx7InR5cGUiOjEwMDB9XQ--

It starts Down on the left
and goes Up on the right
and intersects the x-axis
at x = -1, 1, and 3.

Answer 6

Ok and this one

A quadratic equation is shown below:

x2 + 18x + 76 = 0

Which of the following is the first correct step to write the above equation in the form (x - p)2 = q, where p and q are integers?

Add 9 to both sides of the equation

Add 5 to both sides of the equation

Subtract 5 from both sides of the equation

Subtract 9 from both sides of the equation

Answer 7

well... do you know what a "perfect squatre trinomial" is?

Answer 8

Yes

Answer 9

ok... so let us start by grouping so \(\bf x^2 + 18x + 76 = 0\implies (x^2 + 18x) + 76 = 0
\\ \quad \\
(x^2 + 18x+{\color{red}{ \square ?}}^2) + 76 = 0\)

what number do you think gives us a perfect square trinomial in the parenthesized groiup?

Answer 10

keep in mind that the middle term is 18x
and the middle term is also 2(x)(?)

Answer 11

?

Answer 12

\(\large \begin{cases}
middle\ term\implies &18x\\
middle\ term\implies &2(x)({\color{red}{ \square ?}})
\end{cases}\)

Answer 13

Ok so what would it be

Answer 14

so.... one could say that \(\bf 18x=2(x)({\color{red}{ \square ?}})\implies ({\color{red}{ \square ?}})=?\)

Answer 15

what do you think the missing fellow might be?

Answer 16

Oh I think what you mean is completing the square

Answer 17

I dont know what it is

Answer 18

@jdoe0001

Answer 19

@jhonyy9 @Jonnychewy

Answer 20

@radar

Answer 21

anyone?

Answer 22

@jdoe0001

Answer 23

@Emily_dreamsbig

Answer 24

@Jonnychewy