2/5 Review

Quadrants and Graphing

100

Point (−3, 2) lies in what quadrant?

Quadrant II

200

Point (2, −4) lies in what quadrant?

Quadrant IV

300

What axis does (0, −2) lie on?

y-axis

400

Graph: y=2x+1. What is the y-value when x = 1?

3

500

Which point lies on y=8x+3?

(2,35), (1,11), (1,5)

(2,35) and (1,11)

Linear Skills

100

Find y-intercept of y=−4x+5

5

200

Find x-intercept of y=−4x+5

5/4

300

Midpoint of A(-3,5) and B(-2,-6)

(-5/2, -1/2)

400

Distance between (8,7) and (-4,23)

20

500

What does slope represent in a graph?

Rate of Change

Circles

100

Standard form of circle with center (0,0), r=6

x² + y² =36

200

Center of x²+y²=36

(0,0)

300

Radius of x²+y²=36

6

400

Convert:
x²+y²+6x-8y+9=0

(x+3)²+(y−4)²=16

500

What does the radius represent on a graph?

Distance from center to edge

Exponentials

100

3⁰=

1

200

3^-1=

1/3

300

Solve: 11^x=1331

3

400

Describe transformation: 3^x+2

Shift left 2

500

What is the base behavior of exponential growth?

Increases rapidly

Logarithms

100

log₂32

5

200

log₁₁11

1

300

Expand:log (ab)

log a + log b

400

solve: 

log x= log 18

x=18

500

Domain of log⁡(1−9x)

 x<1/9