Function f(x) undergoes a single transformation to create function g(x). The graphs of both f(x) and g(x) are shown. Create a function rule for g(x) in terms of f(x).
What two numbers have a sum of 217 and a difference of 85?
Henry places x marbles into an empty bucket. Each marble has the same weight.
The weight, in ounces, of the bucket and marbles can be calculated using the expression shown.
3x + 8
What does the term 8 represent in this expression?
A.) the weight of each marble
B.) the weight of the empty bucket
C.) the number of marbles in the bucket
D.) the total weight of the bucket and marbles
A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by
f(x) = 625 - 16x².
Select all the correct interpretations of the coordinates of the point at the maximum
of the function f(x).
A.) the time it takes the stick to hit the ground
B.) the time when the stick is at its highest point
C.) the height of the stick when it is dropped from the top of Miami Tower
D.) the time when the stick is dropped from the top of Miami Tower
E.) the distance of the stick from Miami Tower when it hits the ground
Combined estimates for Etosha National Park and the Northwestern Population
The elephant population in northwestern Namibia and Etosha National Park can be predicted by the expression 2,649(1.045)^b, where b is the number of years since 1995.
What does the value 2,649 represent?
A.) the predicted increase in the number of elephants in the region each year
B.) the predicted number of elephants in the region in 1995
C.) the year when the elephant population is predicted to stop increasing
D.) the percentage the elephant population is predicted to increase each year
Consider the right triangle.
Enter the equivalent to sin (B).
A tennis ball was 2 feet off the ground when a tennis player hit it so that the ball traveled up in the air before coming back to the ground. The height of the tennis ball is described by the graph shown. Numbers along the x-axis represent the time, in seconds, after the ball was hit, and the numbers along the y-axis represent the height, in feet, of the ball at time x.
Use the graph to represent the average rate of change of the height of the ball for the first 0.25 second after being hit.
A.) 0.75 feet per second
B.) 3.0 feet per second
C.) 12 feet per second
D.) 20 feet per second
A high school is having a talent contest and will give different prizes for the best five acts in the show. First place wins the most money and each place after that wins $50 less than the previous place.
Use the information provided to answer Part A and Part B.
The graph of a quadratic function f(x) has a minimum at (-2,-3) and passes through the point (2,13). The function g(x) is represented by the equation g(x) = -(x + 2)(x - 3).
How much greater is the y-intercept of g(x) than f(x)?
Algebra 1 State Test Practice Archives