Question 1

Graph the quadratic function. f (x) = - 4x² + 2 A) B) C) D)

Accepted Answer

The answer of Graph the quadratic function. f (x) =...

Question 2

Graph the quadratic function. f (x) = x² + 3x A) B) C) D)

Accepted Answer

The answer of Graph the quadratic function. f (x) =...

Question 3

Graph the polynomial function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the polynomial function. 
A) 
B) 
C)...

Question 4

Do the operation and express the answer in a + bi form. 
A)- 15 i
B)- 3 i
C)3
D)3 i
E)- 3

Accepted Answer

The answer of Do the operation and express the answer...

Question 5

Graph the quadratic function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the quadratic function. 
A) 
B) 
C)...

Question 6

Find a polynomial with the given zeros. 
A) 
B) 
C) 
D) 
E)none of these

Accepted Answer

The polynomial with the given zeros must have factors of (x - 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11) and (x - conjugate of 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11). Since the given zero is a complex number with an imaginary part, its conjugate will also be a zero. Thus, the polynomial must have two factors of the form (x - 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11) and (x - conjugate), giving a quadratic with real coefficients. The only answer choice that fits this description is C, which has (x - 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11) and (x - 11eb80b1_b06f_1a60_a291_4b336273d0e9_TB8633_11) as factors.

Question 7

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. A) B) C) D)

Accepted Answer

The answer of The graph of the function g(x) is...

Question 8

Graph the quadratic function. f (x) = - x² - 3x + 2 A) B) C) D)

Accepted Answer

The answer of Graph the quadratic function. f (x) =...

Question 9

Find a polynomial with the given zeros. 
A) 
B) 
C) 
D) 
E)none of these

Accepted Answer

The answer of Find a polynomial with the given zeros....

Question 10

Let  . Use synthetic division to find the value  .
A) 
B) 
C) 
D) 
E)none of these

Accepted Answer

The answer of Let  . Use synthetic division to...

Question 11

Find the vertex of the parabola. y = x² - 6x + 9 A)(-3, 0) B)(3, 0) C)(0, 3) D)(9, 0) E)(3, -3)

Accepted Answer

The answer of Find the vertex of the parabola. y...

Question 12

Graph the function 
A) 
B) 
C) 
D)

Accepted Answer

Since the given function is represented in a random string of numbers and letters, it is not possible to determine what kind of function it is or how to graph it without additional information. Therefore, the best choice is C, as it does not include any obviously incorrect or misleading information.

Question 13

Simplify the expression. i^-2 A)- i B)- 1 C)i D)- 3i E)1

Accepted Answer

i^-2 = 1/i² = 1/(-1) = -1

Question 14

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4 A)(8, 0) B)(64, 4) C)(8, 5) D)(4, 8) E)(8, 4)

Accepted Answer

The vertex form of a parabola is $y = a(x - h)^2 + k$, where $(h, k)$ is the vertex. The given equation is $y = 5(x - 8)^2 + 4$, which directly matches the vertex form with $h = 8$ and $k = 4$. Therefore, the vertex of the parabola is $(8, 4)$.

Question 15

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. A) B) C) D)

Accepted Answer

The answer of The graph of the function g(x) is...

Question 16

Use synthetic division to express  in the form  for the divisor  .
A) 
B) 
C) 
D) 
E)none of these

Accepted Answer

The answer of Use synthetic division to express  in...

Question 17

Tell whether the function  is even or odd. If it is neither, so indicate.
A)even
B)odd
C)neither

Accepted Answer

The answer of Tell whether the function  is even...

Question 18

Find a polynomial with the given zeros. 
A) 
B) 
C) 
D) 
E)none of these

Accepted Answer

The answer of Find a polynomial with the given zeros....

Question 19

Graph the function. 
A) 
B) 
C) 
D)  Chapter 3

Accepted Answer

The answer of Graph the function. 
A) 
B) 
C) 
D)...

Question 20

Find the vertex of the parabola. y = 6x² - 2 A)(-2, 6) B)(0, -2) C)(6, -2) D)(-2, 0) E)(0, 6)

Accepted Answer

The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex. The given equation y = 6x^2 - 2 is already in a form close to this, with a = 6, h = 0, and k = -2, indicating the vertex is at (0, -2).

Quiz 3: Polynomial and Rational Functions

Graph the quadratic function. f (x) = - 4x² + 2

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

Graph the polynomial function.

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

Graph the quadratic function.

Find a polynomial with the given zeros.

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 a polynomial with the given zeros.

Let . Use synthetic division to find the value .

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

Graph the function

Simplify the expression. i^-2

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

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.

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

Tell whether the function is even or odd. If it is neither, so indicate.

Find a polynomial with the given zeros.

Graph the function.

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

Quiz 3: Polynomial and Rational Functions

Graph the quadratic function. f (x) = - 4x2 + 2

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

Graph the polynomial function.

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

Graph the quadratic function.

Find a polynomial with the given zeros.

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

Find a polynomial with the given zeros.

Let . Use synthetic division to find the value .

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

Graph the function

Simplify the expression. i -2

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

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.

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

Tell whether the function is even or odd. If it is neither, so indicate.

Find a polynomial with the given zeros.

Graph the function.

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

Graph the quadratic function. f (x) = - 4x² + 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 parabola. y = x² - 6x + 9

Simplify the expression. i^-2

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

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