VCIS INTEGRATED MATH 3AOL CREDIT 2

Which is the graph of y = 5 * log(x + 3)

b

Which expression is equivalent to i ^233?

c. i

What is the first step when rewriting y = -4x2 + 2x - 7 in the form y = a(x - h)2 + k?

-4 must be factored from -4x2 + 2x

For which graph is the parent function y = x^2

a

The engineer wants to modify the roller coaster design by transforming the function. Which represents 2f (0.3x - 1) + 10, the modified design of the roller coaster?

a

Which graph is an example of a function whose parent function is y = sqrt x

a

How does the graph of y = a(x - h)2 + k change if the value of h is doubled?

b. The vertex of the graph moves to a point twice as far from the y-axis.

What is the square root of -1?

b. i

Solve for x in the equation x ^ 2 + 2x + 1 = 17

b. x = - 1 ± √17

What are the solution(s) of x ^ 2 - 4 = 0

b. x = -2 , x = 2

Which equation has a graph that is a parabola with a vertex at (-2, 0)?

b. y = (x + 2)2

Which pair of equations generates graphs with the same vertex?

b. y = -4x2 and y = 4x2

How is the graph of the parent function y = x^2 transformed to produce the graph of y = 3 * (x + 1) ^ 2

d. It is translated 1 unit left and stretched vertically by a factor of 3.

The graph below belongs to which function family?

d. absolute value

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to create a perfect square trinomial?

d. b^2/ 4a^2

A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What does the value of x in her solutions represent?

d. two possible amounts by which the dimensions were changed

Solve for x in the equation 2x ^ 2 + 3x - 7 = x ^ 2 + 5x + 39

d. x = 1 ± √47

Use the zero product property to find the solutions to the equation x2 - 13x + 30 = 0.

d. x = 3 or x = 10

Which equation has the solutions x = 1 plus/minus sqrt(5)

d. x2 - 2x - 4 = 0

Which equation has a graph that is a parabola with a vertex at (-1, -1)?

d. y = (x + 1)^2 - 1

Which equation is y = 6x2 + 12x - 10 rewritten in vertex form?

d. y = 6(x + 1)^2 - 16

The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function?

y = 2^x

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?

a. 2

The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t - 16t2. How long after launch does the projectile return to the ground?

a. 2 seconds

Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?

a. 4 units to the left

What is the discriminant of 3x ^ 2 - 10x = - 2

a. 76

How is the graph of the parent function of y = ^3 sqrt x transformed to produce the graph

a. It is horizontally stretched by a factor of 1/2

If x=6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

a. The discriminant is 0.

The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to the quadratic equation?

a. k(x-2)(x-7)=0

The graph of an equation with a negative discriminant always has which characteristic?

a. no x-intercept

Solve for x in the equation x ^ 2 + 20x + 100 = 36

a. x = -16 or x = -4

Solve for x in the equation x ^ 2 - 4x - 9 = 29

a. x = 2 ± √42

Which equation has a graph that is a parabola with a vertex at (5, 3)?

a. y = (x - 5)2 + 3

Which equation is y = -3x2 - 12x - 2 rewritten in vertex form?

a. y = -3(x + 2)2 + 10

Which equation could generate the curve in the graph below?

a. y = 3x2 - 2x + 1

Which graph is an example of a cubic function?

b

Using the quadratic formula to solve 7x2 - x = 7, what are the values of x?

b. 1 plus/minus sqrt 197 / 14

Which of the following is equivalent to 18 - sqrt(- 25)

b. 18 - 5i

Which equation can be solved using the expression (- 3 plus/minus sqrt((3) ^ 2 + 4(10)(2))) / (2(10)) for x?

b. 2 = 3x + 10x2

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

b. 36

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?

b. 4ft

What is the sum of √-2 and √-18?

b. 4i√2

What is the sum of √2 and √-18?

b. 4i√2

Which expression is equivalent to √-80

b. 4i√5

Solve for x in the equation x² +14x + 17 = -96

b. x = -7 ± 8i

Solve for x in the equation x ^ 2 - 10x + 25 = 35

b. x = 5 ± √35

The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?

b. y = -6x^3

The graph of y = |x| is transformed as shown in the graph below. Which equation represents the transformed function

b. y = |x + 3| - 2

What are the solutions to the equation (2x - 5)(3x - 1) = 0?

c

Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

c

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?

c. 1 unit left

The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?

c. 120

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

c. 2 units right and 3 units up

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x - 2x2. For what number of tabletops does the company make a profit of $0?

c. 240

What is the discriminant of 9x2 + 2 = 10x?

c. 28

Which complex number is represented by the point graphed on the complex plane below?

c. 3 - 4i

Which of the following is an example of a complex number that is not in the set of real numbers?

c. 4 + 9i

Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?

c. 64

In which quadrant is the number -14 - 5i located on the complex plane?

c. III

A 100-gallon fish tank fills at a rate of x gallons per minute.

c. It is a vertical stretch with a factor of 100 and a translation 5 units down.

The function f(x) = 200/x + 10 models the cost per student of a field trip when x students go on the trip. How is the parent function f(x) = 1/x transformed to create the function f(x) = 200/x + 10

c. It is vertically stretched by a factor of 200 and shifted 10 units up.

If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

c. The discriminant is 0.

A ball is thrown into the air with an upward velocity of 80 feet per second. The function h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?

c. after 5 seconds

Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x - h)2 + k. Which of the following must be true?

c. the value of a remains the same

Use completing the square to solve for x in the equation (x + 7)(x - 9) = 25

c. x = 1 ± √89

What are the solutions to the equation (x - 6)(x + 8) = 0?

c. x = 6 or x = -8

Which equation could generate the curve in the graph below?

c. y = -2x2 - 16x- 28

Which equation is y = 2x2 - 8x + 9 rewritten in vertex form?

c. y = 2(x - 2)2 + 1

If f(x) = 1 - x, which value is equivalent to |f(i)|?

c. √2

What are the solutions to the equation 3(x - 4)(x + 5) = 0?

d

Which graph represents the function ^f(2x)

d

If i = √- 1, what is the value of i^3?

d. -i

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

d. 1 plus/minus sqrt 19i

A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

d. 170

If f(x) = x3 - 2x2, which expression is equivalent to f(i)?

d. 2 - i

The square of a number is 12 less than 7 times the number. What is the number?

d. 3 or 4

Which equation has the solutions x = 5 plus/minus 2 * sqrt7 / 3

d. 3x2 - 10x - 1 = 0

Which complex number has a distance of √17 from the origin on the complex plane?

d. 4 - i

What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x - h)2 + k?

d. 6 must be factored from 6x2 + 18x

The square of 9 less than a number is 3 less than the number. What is the number?

d. 7 or 12

How is the graph of the parent function, y = sqrt x transformed to produce the graph of y = sqrt -2

d. It is horizontally compressed by a factor of 2 and reflected over the y-axis.

The solutions to the equation 2x^2+x-1=2 are x=-3/2 or

x = 1