What does a b c d do to the trigonometric graphs

The video tutorial covers transformations in functions, focusing on reflections, vertical and horizontal shifts. It explains how reflections occur on the X and Y axes when A and B are less than zero, respectively. The tutorial also discusses vertical shifts determined by D and horizontal shifts by C, noting that C's effect is opposite to its sign. It emphasizes the importance of calculating shifts using the equation BX - C = 0, especially when B is involved. The session concludes with an introduction to transformation functions.

What happens to the graph of a function if A is less than zero?

• It reflects over the Y-axis.

• It reflects over the X-axis.

• It shifts left.

• It shifts up.

If D is positive, in which direction does the graph shift?

• Down

• Left

• Right

• Up

How does a negative C value affect the horizontal shift of a graph?

• It shifts the graph left.

• It reflects the graph over the X-axis.

• It reflects the graph over the Y-axis.

• It shifts the graph right.

To find the horizontal shift accurately, what equation should you set up?

• AX + D = 0

• BX + C = 0

• BX - C = 0

• AX - D = 0

Why is it important to consider B when determining the horizontal shift?

• Because B determines the reflection over the X-axis.

• Because B affects the vertical shift.

• Because B is irrelevant to the shift.

• Because B can alter the horizontal shift calculation.