LUOA Algebra 2 5.14.R Practice Test module 5

Identify the complex number's conjugate. -1+i/3

-1-i/3

Solve the equation.x2 + 14x + 49 = 44

-7+_2square root 11

Identify the quotient in the form a + bi. 4-5i/2+3i

-7/13-22/13i

Identify the number and type of solutions for the equation 2x2 + x + 11 = 0.

2 nonreal complex

Identify the zeros of the function g(x) = x2 − 6x + 8

2,4

Identify the zeros of the function f(x) = 3x2 − 4x + 8 using the Quadratic Formula.

2/3+_2i square root 5/3

Identify the difference in the form a + bi.(4 − i) − (−1 − 2i)

5+i

Identify the product in the form a + bi.(5 − 8i)(3 − i)

7-29i

Identify the domain and range of the function f(x) = −2x2 + 6x + 11.

D: R R: y<=15.5

The function p(x) = −2000x2 + 16000x − 5000 models the monthly profit P of a smoothie company, where x represents the price per smoothie. Identify the price range that will generate a monthly profit of at least $25,000?

between $3 and $5; inclusive

Use a table to identify the graph for the function f(x) = −x2 − 5x − 6.

down left quadrant

Identify the quadratic function that is in standard form and has zeros −2 and 8.

f(x) = x^2 − 6x - 16

The table shows the viscosity of an oil as a function of temperature. Identify a quadratic model for the viscosity, given the temperature. Then use the model to predict the viscosity of the oil at a temperature of 140°C.

f(x) ≈ 0.001x2 − 0.37x + 39.4The viscosity of the oil at 140°C is about 7.2 kg/ms

Identify a quadratic function that fits the points (−3, −7),(0, −4), and (2, −12).

f(x)=-x^2-2x-4

Using the graph f(x) = x2 as a guide, describe the transformations and then graph g(x). g(x)=1/3(x-1)^2+2

g is f vertically compressed bya factor of 1/3 and translated 1unit right and 2 units up.

Which of the following represents the function g(x) = 2x2 − 20x + 42 in vertex form? Identify the vertex.

g(x) = 2(x − 5)2 − 8; (5, −8)

The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 4, and translated 5 units up to create g. Identify g in vertex form.

g(x) = −4x^2 + 5

Does the function g(x) = −2x2 + 10x + 2 have a minimum or a maximum? Identify its value.

maximum; 14.5

Identify the graph of the function f(x) = x2 − 4x + 3.

upper right quadrant

Use a table or graph to solve the inequality.x2 − 6x − 4 > 3

x < −1 or x > 7

Solve the equation.5x2 + 200 = 0

x = +-2i /10

Identify the roots of the equation x2 + 21 = 10x using factoring.

x=3, x=7

Complete the square for the expression. Also, identify the resulting expression as a binomial squared.x2 + 11x + ____

x^2+11x+121/4=(x+11/2)^2