Math Chapter 3 Review

Graph Transformations

100

Describe how the graph is moving:

y= |x|+3

up 3 units

200

Describe how the graph is moving:

y= |x+5|

right 5 units

300

Describe how the graph is moving:

y= |x-3|-1

down 1 unit and to the left 3 units

400

Describe how the graph is moving:

y= -|x|-6

down 6 units and reflected over the x- axis

500

Describe how the graph is moving:

y= 3|x|

Vertical stretch

Relations and Functions

100

Does the relation define a function?

{(5,3),(2,3),(3,4)}

Yes it is a function. Each x-value is different

200

Does the relation define a function? Explain

{(5,2),(4,3),(3,4) (5,0)}

No it is not a funtion the 5 is repeating

300

let h(x)=x²+6x+2; Find and simplify h(3)

h(3)=29

400

X    Y

1    5

2    5 

3    5

4    5

Yes it is a function

500

Let f(x)={(6,3),(-1,6),(-3,7)};  Find f(6)

f(6)=3

Linear Functions

100

Find the slope of the line containing (-5,3) and (8,4)

m= 1/13

200

Find the slope of the line: Horizontal, through (6,2)

m=0

*Horizontal line always 0 slope*

300

Write an equation in slope-intercept form. 

Through (6,8) and parallel to y=-8

*might be helpful to use the Point-slope formula*

Slope-intercept form: y=8

400

Write an equation in slope-intercept form:

Through (-1,5) and parallel to x+2y=5

*might be helpful to put equation in slope-int form first then use the point-slope formula*

slope-intercept form: y=(-1/2)x+9/2

500

Write an equation in slope-intercept form:

Through (1,6) and perpendicular to 2x+5y=1

slope intercept form: y= (5/2)x+7/2

Parent Graphs

100

Give the shape, key point (vertex, starting point, center), Domain and Range and also the Transformations of Function equation of:

y=|x|

V-shaped

Vertex (h,k)

Domain (-∞,∞)

Range [0,∞)

f(x)=a|x-h|+k

200

What type of function is this?

y=x^{2
And this is traditionally} 

Quadratic

300

What type of function is this?

y=x³

Cubic

400

What type of function is this?  Describe the graph

y=√x

Square root function...it is a swoosh line

500

Is this a function? Why or Why not?

x=y²

Not a function because it Does NOT pass the vertical line test. 

Find the Slope

100

(1,2) (3,4)

1

200

(8,5) (4,3)

-1/2

300

(12,18) (24,32)

7/6

400

(6.5,7.2)  (8.5, 9.2)

1

500

(-3,-5) (8,7)

12/11