Mid-term algebra 2 /2025

Front

Convert the equation y= x²-2x-5 into vertex form.

Back

y= (x-1)²-6

Front

Which of the following shows f(x) = x² + 12x - 2 written in vertex form?

Back

f(x) = (x + 6)² - 38

Front

Solve the equation |v + 8| − 5 = 2.

Back

{-1,-15}

Front

Factor completely: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Find the zeros of the polynomial function f(x) = (x + 2)(x² + 4x − 12).

Back

{-2, -6, 2}

Front

What is the vertex form of a quadratic equation?

Back

y = a(x-h)² + k, where (h,k) is the vertex.

Front

What is the process of completing the square?

Back

Rearranging a quadratic equation to form a perfect square trinomial.

Front

Define a polynomial function.

Back

A function that is represented by a polynomial expression, which includes terms with non-negative integer exponents.

Front

What are the zeros of a function?

Back

The values of x for which f(x) = 0.

Front

Explain the significance of the vertex in a parabola.

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.