Algebra 2 semester tests

geometry find an expression for the width of a rectangle whose length is represented by x-2 and whoe area is represented by 2x^2 +2x-12

2 2 -12 2 12 2 6 0 2x+6

What are all the roots of x^3 -2x^2 +x-2=0

2, x+-i

identify the degree of each of the following polynomials -4v^2w^4

6

Find the product of (3x-2)(2x^2+3x-1)

6x^3 +5x^2 -9x+2

If f(x)= x^3- 2x^3 -1, find g(x)=f(x+2)

G(x)= (x+2)^3- 2(x+2)^2- 3(x+2)-1

Factor the expression 8x^3-125

(2x-5) (4x^2 +10x +25)

What are the coordinates of the transformed point? (3,4); Vertical shift 3 units up and horizontal shift 2 units right

(5,7)

solve the equation: x^2+4x= 12

(x+6)(x-2) x= -6, 2

write a quadratic function in standard form with zeros 6 and -1

(x-6)(x+1) x^2 -5x-6

1-8i/4i

-2-1/4i

4x^3y^4z

8

what is the approximate correlation coefficient of a graph going down.

strong negative -0.95

what type of correlation is shown of a graph going up

strong positive .98

-2t^18

-2(i^2)^9 -2(-1)^9=2

find the product -4c^2 d^3(5cd^2 +3c^2d)

-20c^3 d^5-12c^4 d^4

find the roots of the equation 10x=12-2x^2 using factoring

-2x^2-10x+12 -2(x^2-5+6) (x-1)(x+6) 1,-6

solve each inequality -x^2 + 3x+ 5>= 7

-x^2 +3x-2>=0 x^2 -3x +2 (x-2)(x-1) 1<=x<=2

Is (x+2) a factor of (x^4 -5x^3 -21x^2 -23x -8)

1 -7 -7 -9 10 NO

find the zeros of each function by using the quadratic formula g(x)= x^2-8x+5

1+- i the square root of 39//// 4

use the model to estimate the cost of a 42 in

1.77(42)+52.42(42)-661.55 4662.37

(6-2i)(2-2i)

12-12i-4i+4i^2 12-16i-4 8-16i

Perform the indicated operation and write the result in the form a+bi (12-i)-(5+2i)

12-5=7 -i-(2i)=-3i 7-3i

use synthetic substitution to evaluate the polynomial P(x)= 2x^3-9x^2+27

2 -9 0 27 4 -10-20 2 -5 -10 7 P(x)= 7

What is the complete factorization if (2x^3- 54)

2(x-3) (x^2 +3x +9)

Find (x-2)(2x^2+ 5x-3)

2x^3 +X^2 -13x+6

identify the degree of each of the following polynomials 3x^3

3

determine whether the binomial (x-3) is a factor of the polynomial P(x)= 3x^4+3x^3-2x^2-2x

3 3 -2 -2 no dose not end in a zero

What are all the roots of 12x^5 +30x^4- 72x^3=0

6x^3(x+4)(2x-3)? 0. -4. 1.5

what numbers complete the table of the transformed fuction? reflection across y-axis. x: -8, -1, 0, 1, 8, y: -2, -1, 0 1, 2

8, 1, 0, -1, -8, -2, -1, 0 1, 2

write each function in vertex form, and identify its vertex g(X)=X^2-18X+92`

g(x)=(x-9)^2+11 (9,11)

Let g(x) be a horizontal shift left 6 units of f(x)= 2x+8. Write the rule for g(x).

g(x)=2x+20

expand the expression (x-5)^4

get answer quiz 3.1 3.2

divide by using long division (x^2 -2x+3)/ (x+5)

get answer, chaoter 3.1-3.2

Using the graph of f(x)= x^2 as a guide, describe the transformations and then graph each function g(x)= (x+1)^2 -2

horizontal shift 1 unit left vertical shift 2 units down

what is the parent function of (x-3)+1

linear

find the minimum or maximum value of f(x)+ x^2-6x+3. Then state the domain and range of the function

min y-6 Domain: All real numbers Range Y>= -6

Use the table to perform a translation of y=f(x) right 2 units and up 3 units graph using the same coordinate plane as the original function

on paper chapter 1

consider the function f(x)=-x^2-2x+3. Determine whether the graph opens upward or downward. Find the axis of symmetry find the vertex find the y- intercepts graph the function

opens downward AOS -1 vertex -1,4 y-int 3

using the parent function of f(x)=x^2 as a guide, describe the transformation of g(x)= -1/4(x+1)^2

reflection over x- axis verticle compression transition left 1 unit

rewrite the polynomial 4x+2x^3 -8 in standard form. Then identif the leading coefficient degree number of terms and name the polynomial by the degree and the number of terms then identify the polynomial

sf: 2x^3 =4x-8 LC: 2 D: 3 # of terms: 3 Cubic trinomial

graph the relationship from time to number of organisms living in a petri dish during the course of an experiment . Identify the parent function that best approximates the data.

x: 0 1 2 3 4 y: 4 8 11 12 16 linear

solve the equation: x^2 +25=0

x=+- i5

Solve the equation 3x^2-24x=27

x=9 -1

factor the expression X^3+4x^2 - 9x-36

x^2 (x+4)-9(x+4) (x^2-9) (x-3)(x+3)(x+4)

find the zeros of the function f(x)= x^2-9x+20

x^2-9x+20 (x-4)(x-5)

find a quadratic model for the cost of a television given it size Size- 15 17 23 30 cost- 550 700 1500 2500

y= 1.77x^2 +52.42x-661.55

make a scatter plot of the data in the table below, identify the correlation and then sketch a line of best fit and find its equation x- 12 15 25 19 y- 11 17 23 19

y=.85x+2.42 r= .95 STRONG POSITIVE

Graph the function F(x)= x^3 + 2x^2 - 11x - 12 on a graphing calculator. Then descriBe the graph and identify the number of real zeros

# Of zeros: 3 Description: from lft to right increase, decrease, increase

The graph of a function passes through the points (9, -6) and (12, -3) what are he coordinates of these points after the function has bee compressed vertically by a factor of 1/3?

(-9, -2) (12, -1)

What is the parent function and the transformation for the function of x2 + 1?

Quadratic translation up 1

What is the degree of the polynomial that best fits the data below 1 2 3 4 5 6 7 15 -3 -1 -3 -9 5 87

Quartic

consider the function f(x)=2x^2-4x+5. A. determine whether the graph opens upward or downward. B. find the axis of symmetry. C. find the vertex. D. find the y- intercepts.

Upward AOS- 1 vertex 1,3 y int 5

write the function f(x)+ 2x^2-12x-27 in vertex form and identify the vertex

Vertex form:

Find (x^3 -18x +8) divided by (x-4)

X^2 +4x -2

Write the third degree polynomial with -2, 3, -4 as its zeros

X^3 +3x^2 -10x -24

What is (x+2)^5

X^5 +10x^4 + 40x^3 +80x +32!

What is the degree of the simplest polynomial with integer coefficients that has the square root of 3, 3, 3i, and 3+3i

X^5 -9x^4+ 33x^3 -27x^2 -108x +62

add or subtract polynomial (x^2 -3x+7) - (6x^2 + 4x+12)

_5x^2 -7x-5

what is the parent function of (x-3)^3

cubic

let g(x) be a vertical translation up 2 units followed by a reflection over the y-axis of f(x)= 3x-4. write the rule for g(x)

f(x)=-3x-2

for the given data set (a) use fat as the independent variable then find the equation of line of best fit, and (b) the correlation coefficent (c) then predict the amount of calories a sandwich has if there are 17 grams of fat

fat- 5 9 12 15 12 10 21 14 calories- 360 455 460 420 530 375 580 390

let g(x) be a horixontal compression by a fator of 1/3 of f(x)=3/4x-2

g(x) = 2.25x-2

let g(x) be a translation 4 units down and 2 units left of f(x)= -4x+9. Write the rule for g(x).

g(x)= -4x-3

Use the following description to write a quadratic function in vertex form: F(x)= x^2 is vertically compressed by a factor of 1/2 and traslated 6 unit right to create g

g(x)= 1/2(x-6)^2

the parent function f(x)= x^2 is vertically stretched by a factor of 3 and translated 4 units right and 2 unit up to create g write g in vertex form .

g(x)= 3(x+4)^2 +2

Let g(x)= be a vertical stretch of 12 of f(x)= 2x-4

g(x)=24x-48