What can we learn from a quadratic in vertex form, y = -3(x - (1/2))^2 - 5

The video tutorial covers the vertex form of quadratic equations, focusing on identifying the vertex and axis of symmetry. It explains vertical and horizontal transformations, as well as the concepts of compression and stretching of graphs. The tutorial also discusses the domain and range of quadratic graphs, emphasizing how these properties are affected by transformations.

What is the vertex form of a quadratic equation?

• y = a(x - h)^2 + k

• y = a(x + h)^2 - k

• y = ax + b

• y = ax^2 + bx + c

How do you determine the axis of symmetry from the vertex form?

• X = -k

• X = k

• X = -h

• X = h

If a quadratic graph is shifted down by 5 units, what is the vertical transformation?

• Right 5 units

• Up 5 units

• Down 5 units

• Left 5 units

What happens to the graph when the absolute value of 'a' is greater than 1?

• The graph compresses horizontally

• The graph stretches horizontally

• The graph stretches vertically

• The graph compresses vertically

What is the domain of any quadratic function?

• All real numbers

• Numbers between -1 and 1

• Negative numbers only

• Positive numbers only

How is the range of a quadratic function affected by a downward reflection?

• The range is from the vertex's y-coordinate to positive infinity

• The range is from negative infinity to the vertex's y-coordinate

• The range is all real numbers

• The range is from zero to positive infinity

Why do we use a bracket for the vertex's y-coordinate in the range?

• Because it is an approximation

• Because it is included in the graph

• Because it is not included in the graph

• Because it is a variable