The video tutorial explains how to graph a quadratic function in vertex form. It begins by identifying the vertex coordinates from the equation and plotting them on the graph. The tutorial then demonstrates how to find another point, specifically the y-intercept, and plot it. Finally, it discusses the concavity of the graph, explaining that the graph is concave up due to the positive coefficient in front of the quadratic term.

What is the first step in graphing the quadratic function y = (x - 4)^2 - 6?

• Find the y-intercept

• Identify the vertex

• Calculate the slope

• Determine the axis of symmetry

In the vertex form y = a(x - h)^2 + k, what do the variables h and k represent?

• The x-intercept and y-intercept

• The slope and y-intercept

• The axis of symmetry and vertex

• The vertex coordinates

What are the vertex coordinates of the function y = (x - 4)^2 - 6?

• (-4, 6)

• (4, -6)

• (-4, -6)

• (4, 6)

After plotting the vertex, what is the next step in graphing the function?

• Plot another point using the y-intercept

• Determine the axis of symmetry

• Calculate the slope

• Find the x-intercept

How do you find the y-intercept of the function y = (x - 4)^2 - 6?

• Use the formula y = mx + b

• Find the midpoint of the vertex

• Set y = 0 and solve for x

• Set x = 0 and solve for y

What is the y-intercept of the function y = (x - 4)^2 - 6?

• (0, 6)

• (0, -6)

• (0, 10)

• (0, -10)

What does the coefficient 'a' in the vertex form y = a(x - h)^2 + k indicate about the graph?

• The axis of symmetry

• The direction of the graph's concavity

• The x-intercept

• The y-intercept

If the coefficient 'a' is positive, what is the shape of the graph?

• Horizontal

• Linear

• Concave up

• Concave down

What is the shape of the graph for the function y = (x - 4)^2 - 6?

• Concave up

• Horizontal

• Concave down

• Linear

Which of the following is true about the graph of y = (x - 4)^2 - 6?

• It has a maximum point at the vertex

• It is a horizontal line

• It has a minimum point at the vertex

• It opens downwards