Understanding Absolute Value Graphs

The video tutorial explains how to write the equation for an absolute value graph. It begins by introducing the formula y = a|X - h| + K and identifying the vertex (H, K) on the graph. The tutorial then guides viewers through formulating the equation by determining the values of H, K, and A, emphasizing the importance of the slope and orientation of the graph. The session concludes with a complete equation for the absolute value function.

What type of graph is being discussed in the video?

• Linear graph

• Quadratic graph

• Absolute value graph

• Exponential graph

What is the general formula for an absolute value graph?

• y = a^x + b

• y = a(x - h)^2 + k

• y = ax + b

• y = a|x - h| + k

What does the vertex (H, K) represent in the context of an absolute value graph?

• The slope of the graph

• The highest point on the graph

• The turning point of the graph

• The y-intercept of the graph

What are the coordinates of the vertex in the given graph?

• (2, 3)

• (3, 2)

• (0, 0)

• (1, 1)

How do you incorporate the vertex coordinates into the absolute value formula?

• By adding them to the formula

• By subtracting them from the formula

• By using them as the values of h and k

• By multiplying them with the formula

What does the value of 'a' indicate about the graph's orientation?

• Whether the graph is linear or not

• The color of the graph

• Whether the graph opens upwards or downwards

• The width of the graph

If the graph is upside down, what is the sign of 'a'?

• Positive

• Undefined

• Zero

• Negative

What is the slope of the line in the context of the graph's orientation?

• Negative 1

• Zero

• Positive 1

• Undefined

How does the slope relate to the value of 'a' in the equation?

• It is the opposite of 'a'

• It is double the value of 'a'

• It is the same as 'a'

• It is unrelated to 'a'

What is the final equation of the absolute value function discussed?

• y = |x - 2| + 3

• y = |x + 2| - 3

• y = -|x - 2| + 3

• y = -|x + 2| - 3