Quadratic Functions: Vertex Form — Unit test Answers

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

A vitamin degrades in the body according to the function represented in the table, where x is the time in hours and f(x) is the dosage in milligrams.

Given the function f(x) = −5x2 − x + 20, find f(3).

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).

Which is the graph of f(x) = x2 – 2x + 3?

Which of the following describes the growth rate of the exponential function in the graph below?

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

Tables of values for two different functions are given below. Which statement is true?

Which function has an axis of symmetry of x = −2?

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 3, negative 2, negative 3, 0, 7.

The function f(x) = −(x + 5)(x + 1) is shown.

The graph shows the estimated value of a piece of land, where x is the number of years since the purchase and y is the estimated value in thousands of dollars.

The functions below represent the amounts of water released from two reservoirs over x weeks:Reservoir Af(x) = x2 – 7x + 5Reservoir Bg(x) = 3x2 – 6x + 2The function h(x) = f(x) – g(x) represents the difference in the amounts of water released.Determine which statements about h(x) and about the reservoirs are true. Check all that apply.h(x) = –2x2 – 13x + 6h(x) = –2x2 – x + 3Reservoir A releases less water than Reservoir B over 1 week.Reservoir A releases the same amount of water as Reservoir B over 1 week.Reservoir A releases more water than Reservoir B over 1 week.

The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight:Flight A: f(x) = 0.003x – 1.2Flight B: g(x) = 0.0015x + 0.8Which function represents the total of the flight times, h(x) = f(x) + g(x)?

Which equation describes the relationship between the variables in the table below?xy-11928146,561559,049

Study the equations:f(x) = 6x + 7g(x) = 4x – 2What is h(x) = f(x)g(x)?

A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph models the function?

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

What are the x-intercepts of the function f(x) = –x2 – x + 2?

The graph is a two-dimensional representation of the curve a manufacturer uses to define the shape of a commercial satellite in feet.