Learn

Practice Problem #1

Describe each translation. The gray graph is the parent graph and the red graph is the translated graph.
The graph was translated

The vertex moved from (0, 0) to (1, -1). How would this be represented in words?

__ unit(s) __ right (left/right)
__ unit(s) __ (up/down)

Answer:

1 unit(s) right (left/right)
1 unit(s) down (up/down)

A parent square root function graphed in grey and a square root function graphed in red with a vertex at (negative 1, negative 1) going through the following points: (2,2), (5,5), and (8,7) going up and to the right getting closer to the y-axis.

The graph was translated 1 unit right and 1 unit down.

Describe each translation. The gray graph is the parent graph and the red graph is the translated graph.


The graph was____ stretched vertically or shrunk vertically

Answer: Stretched vertically

Because the graph looks taller than the parent function, the graph was stretched vertically.

Was the graph flipped over the x-axis? Yes or no?

Answer: No

Practice Problem #2

Describe each translation. The gray graph is the parent graph and the red graph is the translated graph.

A parent square root function graphed in grey and a square root function graphed in red with a vertex at (3,0) going up and to the right.

How was the graph translated?
___ unit(s) ___ (left/right)
___ unit(s) ___ up or down.

The graph of the function was translated how many units left/right and up/down?A parent square root function graphed in grey and a square root function graphed in red with a vertex at (3,0) going up and to the right.

Answer: 3 unit(s) right (left/right)
0 unit(s) up or down.

Practice Problem #3

Graph the function and describe how it was translated from the parent function.

y equals negative 2 the square root of x minus 4

What is the domain of the function?

What happens when you set the expression under the radical to be greater than or eqal to zero?

x ≥__

Answer: x ≥0 You will have x ≥ 0 for your domain.

Your table will start with the vertex of the function. What is the vertex? (__ , __)

Because you do not have a value for h, that part of the vertex will be 0. What will be the value for k?

Answer: (0,-4)

You have the first pair of points. Remember your values of x must be greater than or equal to 0. Complete the table. You may or may not have decimals.

Substitute each x-value and solve for y. You will have decimals for x = 2 and x = 3.

x y
0 -4
1 (__)
2 (__)
3 (__)

Answer

x y
0 -4
1 -6
2 -6.8
3 -7.4

Your points will be (0, -4), (1, -6), (2, -6.8), and (3, -7.4)

Plot your points.

x y
0 -4
1 -6
2 -6.8
3 -7.4

Answer:

The following points are plotted on a coordinate plane: (0, negative 4), (1, negative 6), (2, negative 6.8), and (3, negative 7.4).

Draw your graph.

Answer:

A graph of a square root function with a vertex at (0, negative 4) that passes through (1, negative 6), (2, negative 6.8), and (3, negative 7.4) going down and to the right.

Select all that apply to describe
the translation.

Flipped over the x-axis

Shifted Left Shifted Right

Shifted down Shifted Up

Stretched Shrunk

Answer: Flipped over the x-axis, Shifted down, stretched