How to describe and graph a vertical translation of a quadratic function

The video tutorial covers quadratic functions, focusing on their characteristics and transformations. It explains the shape of parabolas and key points they pass through. The tutorial also discusses how to apply transformations to shift graphs, emphasizing the effects of adding or subtracting numbers outside the function. Practical applications of these transformations are demonstrated, providing a comprehensive understanding of quadratic functions and their graphical representations.

What is the degree of a quadratic function?

• One

• Two

• Three

• Four

What shape does the graph of a quadratic function resemble?

• A circle

• A U shape

• A V shape

• A straight line

Which points does the quadratic function pass through as mentioned in the video?

• (0,0) and (1,1)

• (1,1) and (2,4)

• (2,2) and (3,3)

• (3,3) and (4,4)

What happens to the graph of a quadratic function when a constant is added outside the function?

• It shifts left or right

• It shifts up or down

• It remains unchanged

• It becomes a straight line

What is the effect of a negative sign inside the quadratic function?

• Reflects over the x-axis

• Reflects over the y-axis

• Shifts the graph up

• Shifts the graph down

If a constant is subtracted from a quadratic function, in which direction does the graph shift?

• Right

• Left

• Down

• Up

What is the effect of adding a positive constant inside the quadratic function?

• Shifts the graph down

• Shifts the graph up

• Shifts the graph right

• Shifts the graph left