Algebra 2 midterm review (Fall)

Front

What is the vertex of the quadratic function f(x)=4(x-2)² + 3?

Back

The vertex is (2, 3).

Front

Evaluate the expression a² - 4b if a=3 and b=1.

Back

The result is 5.

Front

Multiply the complex numbers (4 – 3i) and (7 + 2i).

Back

The result is 34 - 13i.

Front

How many real zeros are there in the graph of a polynomial function?

Back

There are 4 real zeros.

Front

Solve the equation n² = 18n + 40 using the quadratic formula.

Back

The solutions are n = 20 and n = -2.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c.

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant determines the number of real solutions: positive means 2 solutions, zero means 1 solution, negative means no real solutions.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry is given by x = -b/(2a).

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.