Unit3-Final-Exam1

Front

What is the vertex of the function y < |x + 6| - 4?

Back

The vertex is (-6, -4).

Front

How do you convert a quadratic function to vertex form?

Back

To convert to vertex form, complete the square or use transformations based on shifts and stretches.

Front

What is the vertex form of a quadratic function?

Back

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

Front

What transformations occur when a quadratic function is vertically stretched by a factor of 4?

Back

The function becomes f(x) = 4 * parent function, which increases the steepness of the parabola.

Front

How do you find the vertex after shifting a quadratic function?

Back

Shift the vertex (h, k) by the specified units in the x and y directions.

Front

What does it mean to reflect a quadratic function across the x-axis?

Back

It means to multiply the function by -1, changing the direction of the parabola.

Front

What is the effect of vertically compressing a quadratic function by a factor of 1/2?

Back

The parabola becomes wider, as the value of 'a' in f(x) = a(x - h)² + k is less than 1.

Front

How do you convert f(x) = x² - 20x + 100 to vertex form?

Back

Complete the square: f(x) = (x - 10)²; Vertex = (10, 0).

Front

What is the vertex of the function f(x) = -2(x - 3)² - 1?

Back

The vertex is (3, -1).

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.