Reflections and Dilations of Absolute Value Functions — Cumulative exam Answers

What is the vertex of the graph of f(x) = |x – 13| + 11?

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.3x + 2y = 36.502x + 5y = 50.00

A function g(x) is defined as shown.g(x) = What is the value of g(4)?

Which graph represents the function g(x) = |x + 4| + 2?

What is the value of x in the equation (x + 12) = (x + 14) – 3?

Which statement is true about the function f(x) = ?

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

Which scenario can be represented using the inequalities below?1.25 < x < 1.5

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

What is the inverse of the function f(x) = 4x + 8?

Which is the graph of linear inequality x – 2y ≥ –12?

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

How many intersections are there of the graphs of the equations below?x + 5y = 63x + 30y = 36

Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

The graph represents the data cost for monthly Internet service for a cell phone.

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

The function graphed is reflected across the x-axis to create a new function.

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?