Linear Functions

Linear Functions

100

what is the equation for linear function transformations?

y=a (x-h) + k

200

a linear equation will always have a slope of and a y-intercept of?

slope= 1 , y-intercept= (0,0)

300

Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)

Yes, constant change in 3 for x. Constant change of -1 in y

400

identify the transformation of the linear function and graph it!

double the points!

y=3(x+2)+5

Horizontal translation right 2 

Vertical translation up 5

Vertical dilation stretched from x-axis

500

identify the transformation of the linear function

y= 3/4x - 2

vertical dilation compressed toward the x-axis

vertical translation down 2

Slope and intercepts

100

What is the slope of a horizontal line?

Zero

200

What is slope intercept form equation?

y=mx+b

300

Find the x and y intercepts of 3x+4y=24

x=8 and y=6

400

Find the slope of (4,-2) and(-1,2)

What is -4/5

500

Write the equation in slope intercept form: slope=0, y intercept =-5

y=-5

Miscellaneous

100

what is the equation for arithmetic sequence?

a_n=a₁+(n-1)d

200

what is the vertex? what is the vertex of the parent absolute value function?

the lowest point on the graph, (0,0)

300

Identify the arithmetic sequence equation for the nth term

 3, 6, 9, 12

a_n=3+(n-1)3

a_n=3+3n-3

a_n=3n

400

Write the equation in slope intercept form 

3x+2y=8

y=-3/2 x +4 

500

identify 3 ordered pairs and graph it! double the points! 

|-3x+7|

new vertex (h, k) , (0,7)

(0, 7), (1, 4) (2, 1)

Absolute Value Functions

100

True or False: When you multiply by a negative there will be a reflection?

True

200

what is the equation for absolute value transformations?

y= a |x-h|+ k

300

what does "a" represent in the absolute and linear function equations?

a=the slope

400

Identify the transformations of the absolute function and graph it!

Double the points!

-2 |x|+4

Vertical Dilation stretched from x-axis

Vertical Translation Up 4

Reflection across the x-axis

500

Identify the transformations of

|x+5|+2

Horizontal Translation left 5 and Vertical Translation up 2