Complete the Square Practice

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you convert a quadratic equation in standard form to vertex form?

Back

To convert a quadratic equation in standard form (y = ax² + bx + c) to vertex form, complete the square.

Front

What is the process of completing the square?

Back

Completing the square involves rewriting a quadratic expression in the form of a perfect square trinomial, allowing for easier identification of the vertex.

Front

What is the formula to find the value to complete the square for x² + bx?

Back

The value to complete the square is (b/2)².

Front

Given the quadratic equation y = x² + 4x + 10, what is the vertex form?

Back

The vertex form is y = (x + 2)² + 6.

Front

What is the missing value to complete the square for x² - 14x + ____?

Back

The missing value is 49.

Front

What is the completed square form of x² + 12x + ____?

Back

The completed square form is x² + 12x + 36.

Front

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

Back

The vertex of a parabola in vertex form y = a(x - h)² + k is the point (h, k).

Front

What is the significance of the 'a' value in the vertex form of a quadratic equation?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

Front

Convert the quadratic equation y = x² + 10x + 23 to vertex form.

Back

The vertex form is y = (x + 5)² - 2.