Unit Test — Unit test Answers

Use completing the square to solve for in the equation .

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

A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan?A = lw

What is the value of ?

The graph below shows the height of a projectile t seconds after it is launched. If acceleration due to gravity is –16 ft/s2, which equation models the height of the projectile correctly?h(t) = at2 + vt + h0

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

A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?

What is the additive identity of the complex number 14 + 5i?

Which function is a quadratic function?

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

What is the solution set of the quadratic inequality

A quadratic inequality contains the values less than or equal to the quadratic function that has a vertex of (–9, –27) and contains the point on the boundary.

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?

A company’s profit is modeled by the quadratic function with zeros 6 and 42. The point (15, 81) is on the boundary line. Any values above the boundary line exceed the expected profits.

What is the distance from the origin to point A graphed on the complex plane below?

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

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