Exploring Horizontal Translations in Algebra 2

Coach Fred explains graph translation by shifting parent functions. The video covers translating absolute value and quadratic functions, focusing on how changes inside and outside the function affect X and Y values. The concept of vertex and its role in graph translation is also discussed.

What was the main focus of the earlier video mentioned in the introduction?

• Reflecting graphs over the x-axis

• Shifting graphs up or down

• Shifting graphs left or right

• Stretching and compressing graphs

What happens to the absolute value graph when a number is added inside the function?

• It shifts up

• It shifts down

• It shifts to the left

• It shifts to the right

Why does the graph move to the right when a negative number is added inside the absolute value function?

• Because the output needs to be zero

• Because the input needs to be negative

• Because the function is compressed

• Because the function is reflected

What changes when a number is added inside the function?

• Neither X nor Y values

• Both X and Y values

• X values

• Y values

What changes when a number is added outside the function?

• Neither X nor Y values

• X values

• Y values

• Both X and Y values

What shape is the graph of a quadratic function?

• A circle

• A parabola

• A straight line

• An ellipse

What happens to the quadratic graph when a number is added inside the function?

• It shifts up

• It shifts down

• It shifts to the right

• It shifts to the left

How do you describe the translation of a graph using a rule?

• By multiplying the X values

• By subtracting from the X values

• By dividing the Y values

• By adding to the Y values

What is the new vertex of the absolute value function after moving right one and up three?

• (0, 0)

• (1, 3)

• (2, 4)

• (3, 5)

What is the term used for the turning point of a graph?

• Intercept

• Slope

• Vertex

• Asymptote