Semester 1 Exam Review (Part 2)

Front

What is the result of the expression 3i + 5i + 2i + 10?

Back

10i + 10

Front

What does the transformation f(x-2) represent?

Back

2 Units Right

Front

Complete the square for the expression x^2 + 12x + ____.

Back

x^2 + 12x + 36

Front

What is the vertex of the absolute value function that has the form y = |x - 3| + 1?

Back

(3, 1)

Front

Solve the equation 2x^2 - 9x = 35.

Back

x = -5/2, x = 7

Front

What is the formula for completing the square for a quadratic equation?

Back

For a quadratic equation ax^2 + bx + c, the completed square form is a(x + b/(2a))^2 - (b^2 - 4ac)/(4a).

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a) for the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the sum of the roots of the quadratic equation ax^2 + bx + c = 0?

Back

The sum of the roots is -b/a.

Front

What is the product of the roots of the quadratic equation ax^2 + bx + c = 0?

Back

The product of the roots is c/a.