Math 2-Unit 2 Midterm Review Day 1

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the vertex of a quadratic function in vertex form?

Back

In the vertex form y = a(x - h)² + k, the vertex is located at the point (h, k).

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

What is the vertex of the function y = 2(x + 4)² - 5?

Back

The vertex is at (-4, -5).

Front

What is the vertex of the function y = (x - 2)² + 3?

Back

The vertex is at (2, 3).

Front

What transformation does the function y = (x - 5)² - 7 represent?

Back

It represents a shift 5 units to the right and 7 units down.

Front

How do you determine the vertex from the standard form of a quadratic function?

Back

To find the vertex from standard form y = ax² + bx + c, use the formula h = -b/(2a) and then substitute h back into the equation to find k.

Front

What is the vertex of the function y = (x + 6)² + 2?

Back

The vertex is at (-6, 2).

Front

What is the general shape of a quadratic function?

Back

A quadratic function graphs as a parabola, which can open upwards or downwards.

Front

What does it mean for a quadratic function to have a maximum or minimum value?

Back

A quadratic function has a maximum value if it opens downwards (a < 0) and a minimum value if it opens upwards (a > 0).