Transformations of Quadratic Functions — Unit test Answers

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is the area of the original square. What was the side length of the original square?A = s2

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film the person between 15 m and 10 m above the ground. For which interval of time should the camera film the person?

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

Which equation has a graph that lies entirely above the x-axis?

Which values of x and y would make the following expression represent a real number?(4 + 5i)(x + yi)

Which equation represents a graph with a vertex at (–3, 2)?

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)?

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

Which statement about the following equation is true?3x2 – 8x + 5 = 5x2

Use completing the square to solve for in the equation .

What is the solution set of the quadratic inequality

Which equation demonstrates the multiplicative identity property?

What is the absolute value of the complex number ?

Which phrase best describes the translation from the graph y = (x – 5)2 + 7 to the graph of y = (x + 1)2 – 2?

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by , where x and y are measured in inches. Where is the focus of the flashlight?

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2?

Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by , where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. Where should the feed antenna be placed?