THURSDAY REVIEW

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It has the form: (a + b)² = a² + 2ab + b².

Front

How do you find the missing value 'c' in a perfect square trinomial?

Back

To find 'c' in the trinomial x² - 8x + c, use the formula c = (b/2)², where b is the coefficient of x. Here, c = (-8/2)² = 16.

Front

What transformations are applied to the function f(x) = x² to get g(x) = f(x-2) + 5?

Back

The function is shifted 2 units to the right and 5 units up.

Front

What is the equivalent expression for the perfect square trinomial x² + 14x + 49?

Back

The equivalent expression is (x + 7)².

Front

How do you complete the square for the expression x² - 14x + ____?

Back

To complete the square, add (b/2)², where b is -14. So, add 49 to get x² - 14x + 49 = (x - 7)².

Front

What is the value of p in the equation x² - 4x + 4 = 20 when factored as (x - p)² = 20?

Back

The value of p is 2.

Front

What is the formula for factoring a perfect square trinomial?

Back

The formula is: a² ± 2ab + b² = (a ± b)².

Front

What does it mean to 'complete the square'?

Back

Completing the square involves rewriting a quadratic expression in the form of a perfect square trinomial, which makes it easier to solve or graph.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is given by g(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you identify the vertex of a parabola from its standard form?

Back

For a quadratic in standard form y = ax² + bx + c, the vertex can be found using the formula h = -b/(2a) and k = f(h).