Unit 4B REVIEW

Front

What is the transformation of the function f(x) = x^2 to g(x) = f(x-3)-6?

Back

Shifted 3 units to the right and 6 units down.

Front

What is the equivalent expression for the perfect square trinomial x^2 - 18x + 81?

Back

(x-9)^2

Front

Complete the square for x^2 + 12x + ___. What is the missing number?

Back

36

Front

Solve the quadratic equation 2x^2 + 8x + 3 = 0 using the quadratic formula.

Back

x = \frac{-4 \pm \sqrt{10}}{2}

Front

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

Back

a = 1, b = 6, c = 5

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does completing the square involve?

Back

Rewriting a quadratic in the form x^2 + bx + c as (x + p)^2 + q.

Front

What is the vertex form of a quadratic function?

Back

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

Front

What is the quadratic formula?

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).