Question 1

Find the vertex of the parabola. y = 6x2 - 2

Accepted Answer

A) (-2, 6) 
B) (0, -2) 
C) (6, -2) 
D) (-2, 0) 
E) (0, 6) 
A) (-2, 6) 
B) (0, -2) 
C) (6, -2) 
D) (-2, 0) 
E) (0, 6) B

Question 2

Find a polynomial with the given zeros.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these D

Question 3

Graph the function.

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
A)  
  
B)  
  
C)  
  
D)  
  B

Question 4

Graph the polynomial function.

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
A)  
  
B)  
  
C)  
  
D)

Question 5

Do the operation and express the answer in a + bi form.

Accepted Answer

A) - 8 i 
B) - 40 i 
C) - 8 
D) 8 i 
E) 8 
A) - 8 i 
B) - 40 i 
C) - 8 
D) 8 i 
E) 8

Question 6

Find a polynomial with the given zeros.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 7

Graph the quadratic function. f (x) = x2 + 3x

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
A)  
  
B)  
  
C)  
  
D)

Question 8

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

Accepted Answer

A) 3 - 13 i 
B) - 13 + 3 i 
C) 13 + 3 i 
D) - 13 - 3 i 
E) 13 - 3 i 
A) 3 - 13 i 
B) - 13 + 3 i 
C) 13 + 3 i 
D) - 13 - 3 i 
E) 13 - 3 i

Question 9

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 3) 3 - 1.

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
A)  
  
B)  
  
C)  
  
D)

Question 10

Graph the quadratic function. f (x) = - x2 - 3x + 2

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
A)  
  
B)  
  
C)  
  
D)

Question 11

Graph the function

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
A)  
  
B)  
  
C)  
  
D)

Question 12

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) 2 + 4

Accepted Answer

A) (8, 0) 
B) (64, 4) 
C) (8, 5) 
D) (4, 8) 
E) (8, 4) 
A) (8, 0) 
B) (64, 4) 
C) (8, 5) 
D) (4, 8) 
E) (8, 4)

Question 13

Do the operation and express the answer in a + bi form.

Accepted Answer

A) - 11 + 18 i 
B) 11 + 9 i 
C) - 11 + 9 i 
D) - 11 - 9 i 
E) 11 - 9 i 
A) - 11 + 18 i 
B) 11 + 9 i 
C) - 11 + 9 i 
D) - 11 - 9 i 
E) 11 - 9 i

Question 14

Find the vertex of the parabola. y = x2 - 6x + 9

Accepted Answer

A) (-3, 0) 
B) (3, 0) 
C) (0, 3) 
D) (9, 0) 
E) (3, -3) 
A) (-3, 0) 
B) (3, 0) 
C) (0, 3) 
D) (9, 0) 
E) (3, -3)

Question 15

Let   . Use synthetic division to find the value   .

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 16

Do the operation and express the answer in a + bi form.

Accepted Answer

A) 19 i 
B) - 19 i 
C) - 190 i 
D) - 19 
E) 19 
A) 19 i 
B) - 19 i 
C) - 190 i 
D) - 19 
E) 19

Question 17

Use synthetic division to express   in the form   for the divisor   .

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 18

Graph the quadratic function.

Accepted Answer

A)  
  
B) 
   
C)  
  
D)  
  
A)  
  
B) 
   
C)  
  
D)

Question 19

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 1) 3.

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
A)  
  
B)  
  
C)  
  
D)

Question 20

Find a polynomial with the given zeros.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Find the vertex of the parabola. y = 6x² - 2

Find a polynomial with the given zeros.

Graph the function.

Graph the polynomial function.

Do the operation and express the answer in a + bi form.

Find a polynomial with the given zeros.

Graph the quadratic function. f (x) = x² + 3x

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 3)³ - 1.

Graph the quadratic function. f (x) = - x² - 3x + 2

Graph the function

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4

Do the operation and express the answer in a + bi form.

Find the vertex of the parabola. y = x² - 6x + 9

Let . Use synthetic division to find the value .

Do the operation and express the answer in a + bi form.

Use synthetic division to express in the form for the divisor .

Graph the quadratic function.

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 1)³.

Find a polynomial with the given zeros.

Functions and Their Graphs

Solving Equations and Inequalities

Exponential and Logarithmic Functions

Linear Systems and Matrices

Sequences, Series, and Probability

Conics and Parametric Equations

Prerequisites

Filters

Exam 3: Polynomial and Rational Functions

Find the vertex of the parabola. y = 6x2 - 2

Find a polynomial with the given zeros.

Graph the function.

Graph the polynomial function.

Do the operation and express the answer in a + bi form.

Find a polynomial with the given zeros.

Graph the quadratic function. f (x) = x2 + 3x

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 3) 3 - 1.

Graph the quadratic function. f (x) = - x2 - 3x + 2

Graph the function

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) 2 + 4

Do the operation and express the answer in a + bi form.

Find the vertex of the parabola. y = x2 - 6x + 9

Let . Use synthetic division to find the value .

Do the operation and express the answer in a + bi form.

Use synthetic division to express in the form for the divisor .

Graph the quadratic function.

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 1) 3.

Find a polynomial with the given zeros.

Functions and Their Graphs

Solving Equations and Inequalities

Exponential and Logarithmic Functions

Linear Systems and Matrices

Sequences, Series, and Probability

Conics and Parametric Equations

Prerequisites

Filters

Find the vertex of the parabola. y = 6x² - 2

Graph the quadratic function. f (x) = x² + 3x

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 3)³ - 1.

Graph the quadratic function. f (x) = - x² - 3x + 2

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4

Find the vertex of the parabola. y = x² - 6x + 9

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 1)³.