Graph Transformations and Reflections

The video tutorial explains how to transform graphs of functions. It covers shifting graphs left and up, reflecting across the x-axis, stretching vertically, reflecting about the y-axis, and shrinking horizontally. Each transformation is demonstrated with examples, showing how to adjust the function's equation accordingly. The importance of the order of transformations is emphasized, as it affects the final outcome.

What is the initial function set for transformations in this video?

• f(x) = x^2 - 3x

• f(x) = x^2 + 2x

• f(x) = x^2 - 2x

• f(x) = x^2 + 3x

How do you transform a graph left by three units?

• Subtract 3 from x inside the function

• Add 3 to x inside the function

• Subtract 3 from the entire function

• Add 3 to the entire function

What is the result of shifting the graph up by four units?

• Add 4 to x inside the function

• Subtract 4 from x inside the function

• Subtract 4 from the entire function

• Add 4 to the entire function

What is the effect of reflecting a graph across the x-axis?

• Multiply x by -1 inside the function

• Multiply the entire function by -1

• Add 1 to the entire function

• Subtract 1 from the entire function

What happens when you stretch a graph vertically by a factor of three?

• Multiply x by 3 inside the function

• Subtract 3 from the entire function

• Multiply the entire function by 3

• Add 3 to x inside the function

How do you reflect a graph across the y-axis?

• Add 1 to x inside the function

• Subtract 1 from x inside the function

• Replace x with -x inside the function

• Multiply the entire function by -1

What is the result of shifting a graph right by one unit?

• Add 1 to x inside the function

• Add 1 to the entire function

• Subtract 1 from x inside the function

• Subtract 1 from the entire function

How do you horizontally shrink a graph by a factor of three?

• Divide the entire function by 3

• Multiply the entire function by 3

• Divide x by 3 inside the function

• Multiply x by 3 inside the function

What is the effect of shifting a graph right by three units?

• Add 3 to the entire function

• Add 3 to x inside the function

• Subtract 3 from x inside the function

• Subtract 3 from the entire function

What is the final transformation when a graph is shifted up by one unit?

• Subtract 1 from the entire function

• Add 1 to x inside the function

• Add 1 to the entire function

• Subtract 1 from x inside the function