Transformations and Effects on Functions

The video tutorial by Mark Kedos on MathGuide.com covers basic translations of functions, including vertical and horizontal shifts, scaling, and reflections. It explains these concepts through various function types: quadratic, absolute value, cubic, and exponential. Each section provides examples to illustrate how changes in function equations affect their graphs, helping students understand the visual impact of mathematical transformations.

What is the main topic of the video presented by Mark Kedos?

• Geometry and shapes

• Introduction to algebra

• Basic translations of functions

• Advanced calculus techniques

What happens to a function's graph when a constant K is added?

• It moves K units horizontally

• It moves K units vertically

• It remains unchanged

• It rotates around the origin

If a function is multiplied by a constant greater than 1, what is the effect on the graph?

• The graph reflects over the y-axis

• The graph shrinks vertically

• The graph remains the same

• The graph stretches vertically

How does the graph of y = x^2 change when x is replaced with (x - 2)?

• It moves 2 units up

• It moves 2 units down

• It moves 2 units to the right

• It moves 2 units to the left

What shape does the graph of an absolute value function typically have?

• S-shape

• L-shape

• V-shape

• U-shape

What is the effect of a negative sign in front of a cubic function?

• It reflects the graph over the y-axis

• It shifts the graph down

• It shifts the graph up

• It reflects the graph over the x-axis

What happens to an exponential function's graph when it is shifted left by 2 units and up by 3 units?

• The graph remains unchanged

• The asymptote moves down by 3 units

• The asymptote moves up by 3 units

• The graph reflects over the x-axis