Function Transformations with TI Smartview

This video tutorial covers transformations of functions, focusing on quadratics and extending to cubic, square root, and absolute value functions. It explains how to perform reflections, horizontal and vertical shifts, and vertical stretches and shrinks using the vertex form of a quadratic equation. The tutorial uses a TI SmartView calculator to demonstrate these transformations and provides examples and exercises for practice.

What is the vertex form of a quadratic equation?

• y = a(x - h)^2 + k

• y = ax^2 + bx + c

• y = x^2 + x + 1

• y = (x - h)^2 / a

What effect does adding a negative sign in front of a function have?

• It stretches the graph vertically.

• It compresses the graph horizontally.

• It reflects the graph across the x-axis.

• It shifts the graph upwards.

How does the graph of y = x^2 compare to y = -x^2?

• It is reflected across the y-axis.

• It is shifted to the right.

• It is stretched vertically.

• It is reflected across the x-axis.

What does the H value in a function's equation affect?

• Stretching

• Reflection

• Horizontal shift

• Vertical shift

What happens to a graph when the H value is positive?

• Shifts downwards

• Shifts upwards

• Shifts to the left

• Shifts to the right

How does a positive K value affect a graph?

• Moves it upwards

• Moves it to the left

• Moves it to the right

• Moves it downwards

What does a K value of -3 do to a graph?

• Moves it 3 units down

• Moves it 3 units to the left

• Moves it 3 units up

• Moves it 3 units to the right

What does a vertical stretch do to a graph?

• Moves it downwards

• Makes it wider

• Makes it narrower

• Moves it upwards

What is the effect of a negative A value on a graph?

• Reflection across the x-axis

• Vertical stretch

• Horizontal shift to the right

• Vertical shift upwards

What is the result of applying a 0.5 A value to a function?

• Horizontal shift to the right

• Horizontal shift to the left

• Vertical shrink

• Vertical stretch