Algebra semester test real test

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

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

Factor the expression x^3 +4x^2 -9x-36

+- 3, -4

Solve the equation 4x^2 +80=0

+-2i square root of 5

From the indicated aberration write the result in the form a+bi -2i^18

-2(i^2) ^9 2

perform the indicated operation 1-8i/ 4i

-2-1/4i

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

-20c^3 d^5 -22c^4 d^4

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

-5x^2 -7x -5

Solve the equation x^2 -2x+1=0

-6,2

Find the complex conjecture i +6

-i+6

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

0 -4 1.5

What is (x+2)^5

1 5 10 10 5 1 X^5 +10x^4 +40x^3 +80x^2 + 80x +32

Solve the inequality using algebra x^2 -6x +8 <= 3 by using algebra

1 or 5 1<=x<=5 FTF

Find the zeros of each function by using the quadratic formula =2x^2 -x +5

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

Find the roots of the equation 10x=12-2x^2

1, -6

A motor scooter purchased for $1000 depreciate an annual rate of 15% rent an exponential function and after how many years will the value of the scooter for below 100

1000(.85)^x 14 yrs

Express the number 2 square root of 50 in terms of i.

10i square root of 2

Solve the inequality-x^2 +3x +5>= 7

2 or 1 FTF 1<=x <= 2

Solve the inequality x^2 -5x +12>6 using algebra

2&3 X<2 or x>3 TFT

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

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

Write the function fx=2x^2 -12x -27 in vertex form and identify the vertex

2(x-3)^2 -45 Vertex. 3,-45

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

2, +- i

Find an expression for the width of a triangle whose length is represented by X -2 and whose area is represented by 2x^2 +2x -12

2x+6

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

The parent function x^2 is vertically stretched by a factor of 3 and translated 4 units right and 2 units up

3(x+4)^2 +2

What G(x) be a vertical compression of a scale factor of 1/2 the linear function is defined by the graph below. Write the rule for g(x) Slope of 3/4 Y int of 3

3/8x+ 3/2

Find the zeros if fx = x^2 -8x+10 using the quadratic formula

4+- square root of 6

Find the zeros of the function x^2 -9x +20

4,5

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

6

Find each complex conjecture 6-2i

6+2i

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

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

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

7-3i

What numbers complete the table of the transformed function. Reflection across the y axis X -8 -1 0 1 8 Y. -2 -1 0 1 2

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

identify the degree of each of the following polynomials 14x^3 y^4 z

8!

Perform the indicated operation and write the result in the form a+bi (6-2i)(2-2i)

8-16i

Solve the equation 3x^2-24x=27 by completing the square

9,-1

Let gx be a reflection over the x axis. The linear function is define by the table. Write the rule for gx -2 0 1 3 7 9

=-2x+7

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

Cubic

Consider the function fx = -x^2 -2x +3. Determine whether the graph opens upward of downward and find the axis of symmetry find the vertex find the y intercepts

Down -1 -1,4 3

Use inverse operation to find the inverse of the function fx =x-6

F-1(x)= x+6

Use inverse operations to find the inverse of the function fx = x-12/4

F-1(x)=4x+12

Use inverse operations to find the inverse of the function fx = 21-32x

F-1(x)=x-21/-32

Tony purchased a rae 19959 Gibson les Paul guitar in 2000 for 12000 experts estimate that its value will increase by 14% per year. In what year will the value of the guitar be $60000

Function. 12000(1+.14)^x Year. 2012

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

G(x)2x +20

If fx =x^3 -2x^2 -3x -1 find. Gx=f(x+2)

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

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

G(x)= 24x -48

Read the function in vertex form and identify the vertex gx= x^3 -18x +92

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

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

Gx= -3x-2

Let gx be a horizontal compression by a factor of 1/3 of fx=3/4x-2. Write the rule

Gx= 2.25x-2

Use the following description to write a quadratic function in vertex form fix=x^2 is vertically compressed by a factor of 1/2 and translated 6 units right to create G

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

During the graph of fx =x^2 as a guide describe the transformation gx=(x+1)^2 -2

Horizontal shift one unit left vertical shift two units down

What is the parent function (x-3)+1

Linear

Find the minimum or maximum value of Fx=x^2-6x+3. Then state the domain and range of the function

Min y=-6 Domain. All real numbers Range y>=-6

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

No

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

No

Determine if the data set could represent a quadratic function 1 2 3 4 5 -3 0 3 6 9

No it is linear

Use synthetic substitution to evaluate the polynomial px=2x^3 -9x^2 +27 for the value of x=2

P(x)=7

Find the type and number of solutions for the equation x^2 *30=12x

Positive 2 real solutions

What is the parent function and the transformation for the function of x^2 +1

Quadratic translation up one

Using the parent function of fx=x^2 as guide describe the transformation of gx= -1/4(x+1)^2

Reflection over the x axis vertical compression by 1/4 horizontal translation left one unit

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

Sf. 2x^3 +4x -8 Lc. 2 D. 3 Number of terms. 3 Name. Cubic trinomial

What is the approximate correlation of a graph going down

Strong negative -0.95

consider the function fx= 2x^2 -4x +5 determine whether the graph opens upward or downward find the axis of symmetry find the vertex and find the y intercepts

Upward 1 1,3 5

I video using long division (x^2-2x+3) / (x+5)

X-7 + 38/x+5

Solve the equation x^2 +25=0

X=+- i5

Find the values of x and y that make each equation 4x-4i=-12+(10y)i true

X=-3 Y=-2/5

Find (x^3 -17x +8) divided by (x-4)

X^2 +4x-2

Write a quadratic function in standard form with zeros 6, -1

X^2-5x-6

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

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

For the given data set use fat as the independent variable then find the equation of the line of best fit and the correlation coefficient don't predict the amount of calories a sandwich as if there are 17 g of fat 5 9 12 15 12 10 21 14 360 455 460 420 530 375 580 390

Y= 11.14x+309.77 R=.68 499.15

The table shows the prices of an ice cream cake depending on its size find a quadratic model of the cost of the ice cream cake given the diameter then use the model to predict the cost of the ice cream cake with a diameter of 18 inches D- 6 10 15 7.5 12.5 18.25

Y=-0.01x^2 +1.43x -0.66 21.84$

Graph the function x^3 +2x^2 -11x -12 on a leaving calculator then describe the graph and identify the number of real zeros

Zeros. 3 From left to right increase decrease increase