Test — Test Answers

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step. 9x2 +54x = 7 9(x2 + 6x) = 7 9(x2 + 6x + 9) = 7 +

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

Which function in vertex form is equivalent to f(x) = x2 + x +1?

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

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

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

What is the solution to 2x2+8x=x2-16?

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?

The function f(x) = −(x + 5)(x + 1) is shown.

What number should be added to both sides of the equation to complete the square? x2 + 12x = 11

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 are the x-intercepts of the function f(x) = –x2 – x + 2?

Which function has an axis of symmetry of x = −2?

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Which equation results from taking the square root of both sides of (x – 9)2 = 81?

What are the solution(s) of the quadratic equation 98 – x2 = 0?

Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

What is the solution set of the quadratic inequality

According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 when 105 units are sold. What is the function that represents this company’s profit f(x) depending on the number of items sold, x?