Graph a Function Based on Description

The function g(x) is graphed. Based on the transformations on f(x)=|x| choose the equation representing g.

Answer explanation

The graph moved down 5 units which is a VERTICAL change. So a - 5 is needed on the OUTSIDE.

Tags

2a.6c

The function g(x) is graphed. Based on the transformations on f(x)=|x| choose the equation representing g.

Answer explanation

This is either a vertical compression or a horizontal stretch. For a vertical compression you need a factor between 0 and 1 in front of the bars or a factor greater than 1 inside the bars. The only possible answer is A.

Tags

2a.6c

The function g(x) is graphed. Based on the transformations on f(x)=|x| choose the equation representing g.

Answer explanation

The graph shifted right one, which is a HORIZONTAL change, so a - 1 is needed inside of the absolute value bars.

REMEMBER: Anything horizontal is the opposite of what you might think.

Tags

2a.6c

The function g(x) is graphed. Based on the transformations on f(x)=|x| choose the equation representing g.

Answer explanation

The graph VERTICALLY stretched by a factor of 2, so a factor of 2 is needed in front of the absolute value bars.

Tags

2a.6c

• 
• 
• 
• 

Tags

CCSS.HSF.TF.A.2

Plot the coordinates of three points following these directions:

1. - Start with the absolute value parent function

2. - Vertical translation down 1 unit

3. - Horizontal translation left 4 units

4. - Vertical stretch by a scale factor of 2

5. - Vertical reflection over the x-axis

An employee at a garden center starts to fill a water tank once a day at 12:00 p.m. to a height of 20 inches. The function M models the height of the water in the tank, M(x), in inches, x seconds after 12:00 p.m. on Monday as it fills.

On Tuesday, the employee begins filling the tank 10 seconds later than on Monday. The function T gives the height of the water in the tank, T(x), in inches, x seconds after 12:00 p.m. on Tuesday as it fills. Below are the graphs of M(x) and T(x).

Based on the given scenario and the graphs, which equation expresses T(x) in terms of M(x)?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation ​ (a)   and description ​ (b)  

• neither even nor odd function

• even function

• odd function

Tags

CCSS.HSF.BF.B.3

Select all points that are on the graph of if we know that f(2) = -4 and f(5) = 3.4.

• (-4,2)

• (2,-4)

• (3.4 ,5)

• (5, 3.4)

• (2,5)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1