How to graph, find range, domain, vertex, and axis of symmetry from a quadratic

The video tutorial covers identifying the vertex and axis of symmetry in quadratic equations, graphing techniques, and understanding transformations. It explains how to determine the domain and range of quadratic graphs, emphasizing the importance of the vertex form and the role of the 'A' value in graph transformations.

What is the vertex of a quadratic equation in vertex form y = a(x-h)^2 + k?

• (a, k)

• (0, 0)

• (h, a)

• (h, k)

How do you determine the axis of symmetry for a quadratic equation in vertex form?

• y = k

• y = h

• x = h

• x = k

When graphing a quadratic equation, what is the first step?

• Find the x-intercepts

• Plot the y-intercept

• Draw the axis of symmetry

• Plot the vertex

What does the value of 'a' in the quadratic equation y = a(x-h)^2 + k affect?

• The horizontal compression or stretch

• The direction of the graph

• The position of the vertex

• The axis of symmetry

If a quadratic graph opens upwards, what can be said about its vertex?

• It is neither a maximum nor a minimum

• It is a minimum point

• It is both a maximum and a minimum

• It is a maximum point

What is the domain of a quadratic function?

• Only positive numbers

• Numbers between -1 and 1

• All real numbers

• Only negative numbers

How is the range of a quadratic function determined?

• By the axis of symmetry

• By the x-intercepts

• By the vertex and direction of the graph

• By the y-intercepts