Exam 12: Quadratic Equations and Functions

Solve the problem. Give the answer to the nearest tenth. -A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 280 feet?

Without graphing, find the vertex. -f(x) = - 3

Find the vertex. -f(x) = - 20x + 105

Solve. Provide answers in interval notation. -

Find the x- and y-intercepts. -f(x) = + 12x + 2

Find the x-intercepts. -f(x) = + 10x

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Suppose the graph of a quadratic equation has two x-intercepts. How could you use the intercepts to find the vertex of the graph?

Solve. Provide answers in interval notation. -

Solve. -Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.

Determine whether there is a maximum or minimum value for the given function, and find that value. -f(x) = + 100x + 240

Find the vertex. -f(x) = + 8x + 13

Solve. -Sue rowed her boat across Lake Bend and back in 3 hours. If her rate returning was 2 mph less than the rate going, and if the distance each way was 7 miles, find her rate going.

Find the quadratic function that fits the set of data points. -(5, 5), (7, 9), (-1, 41)

Determine whether there is a maximum or minimum value for the given function, and find that value. -f(x) = - 8x + 17

Find the quadratic function that fits the set of data points. -(-3, -1), (2, -76), (5, -193)

Find the x-intercepts. -f(x) = 2 - 3x - 4

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. -

Solve. -

Solve. -John owns a hotdog stand. He has found that his profit is represented by the equation P = + 66x + 80, with P being the profit in dollars, and x the number of hotdogs sold. How many hotdogs must he sell to earn the most Profit?

Find the x-intercepts. -f(x) = - 5