Linear Transformations, Direct Variation and Correlation

Given the function f(x) = 2x - 5, what would g(x) = f(x) + 6 do to the original function?

• move every point up

• move every point down

• move every point right

• multiply the function by 6

Organize these options into the right categories

Groups:

(a) moves the line up

,

(b) moves the line down

,

(c) multiplies the whole function

,

(d) moves the line left

• f(x) - 3

• f(x) + 8

• f(x) - 1

• f(x) + 6

• 4f(x)

• f(x + 6)

A set of data that has a correlation coefficient of r = -0.82 shows a .... ​ (a)   ... correlation.

• negative & strong
• positive & strong
• negative and weak
• no correlation
• very scattered data points

The correlation coefficient for a set of data identifies what?

• If one thing causes another

• If there is a x-value

• How 2 sets of data relate to each other

• What the slope and y-intercept is for the equation

Write in slope-intercept form:

-5x - 10y = -50

• y = -2x + 5

The number of gallons in a water tank is directly proportional to the number of hours that have passed when filling it. When 5 hours have passed, the water level is at 2000 gallons. Which of these equations models this situation?

• y = 400x

• y = 5x + 2000

• y = 2000x + 5

The value of y varies directly with the value of x. When y is 25, then x is 15. What is the value of y when x is 3.

Write the equation of a line parallel to y = 4x - 2,

and goes through the point (6, -1).

• y = 4x - 1

• y = 4x - 25

• y = 4x - 23

Organize these options into the right categories:

Groups:

(a) parallel to y = 3x + 5

,

(b) perpendicular to y = -3x + 7

,

(c) parallel to y = 3

,

(d) perpendicular to y = 1

• y = -3

• y = 3x

• x = 3

• y = 3x - 5

• y = 1

Organize these options into the right categories

Groups:

(a) slope-intercept form of an equation

,

(b) point-slope form of an equation

,

(c) horizontal equation

,

(d) vertical equation

• y - 3 = 4(x + 1)

• y = x + 6

• y + 6 = -(x - 9)

• y = 2

• y = x

• x = 5