Transformations of Quadratic Functions — Unit test Answers

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

If g(x) is an odd function, which function must be an even function?

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?

What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1?

Use the zero product property to find the solutions to the equation x2 – 9 = 16.

Which function is a quadratic function?

What is the greatest possible integer value of x for which is an imaginary number?

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

Which quadratic inequality does the graph below represent?

If the function has an inverse function, which statement must be true?

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

Solve for in the equation .