THURSDAY REVIEW

Front

What is the transformation of the function f(x) = x^2 to g(x) = f(x-2)+5?

Back

Shifted 2 units to the right and 5 units up.

Front

How do you solve the equation y^2 + 10y = -9 by completing the square?

Back

The solutions are y = -1 and y = -9.

Front

What is the equivalent expression for the perfect square trinomial x^2 + 14x + 49?

Back

(x + 7)^2.

Front

Identify the values of a, b, and c in the equation x^2 + 6x + 15 = 10.

Back

a = 1, b = 6, c = 5.

Front

Write the equation 8x^2 + 6x - 15 = -6 in standard form.

Back

8x^2 + 6x - 9 = 0.

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (x + a)^2.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x-h)^2 + k, where (h,k) is the vertex.

Front

How do you find the vertex of a parabola given in standard form?

Back

The vertex can be found using the formula x = -b/(2a) for the equation ax^2 + bx + c.

Front

What does it mean to complete the square?

Back

Completing the square involves rewriting a quadratic equation in the form (x + p)^2 = q.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).