Completing the Square - Rylee

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 to vertex form?

Back

To convert to vertex form, complete the square on the quadratic expression.

Front

What is the process of completing the square?

Back

Completing the square involves rearranging a quadratic equation to form a perfect square trinomial.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form (x + a)² = x² + 2ax + a².

Front

Given the equation y = x² + 14x + 50, what is the value of 'c' that completes the square?

Back

The value of 'c' is 196.

Front

What does it mean to 'move' a term in an equation when completing the square?

Back

Moving a term means to isolate it on one side of the equation to facilitate completing the square.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

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

Back

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

Front

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

Back

The 'a' value determines the direction and width of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

Front

How do you factor a quadratic equation in standard form?

Back

To factor a quadratic equation, find two numbers that multiply to 'c' and add to 'b'.