Alg 2 Chapter 1/2 Review

Parent Functions

100

What is the parent function of this function?

f(x)=1/(x+2)

f(x)=1/x

200

Name this equations parent function.

f(x)=3log(x-2)

f(x)=logx

300

Name this equations parent function.

f(x)=|x-3|+5

f(x)=|x|

400

Name this equations parent function. 

f(x)=.75x³+2

f(x)=x³

500

Name this equations parent function. 

f(x)=0.5*2^x+4-1

f(x)=2^x

Transforming Functions

100

What is the vertex of this transformed parabola?

y=3(x+2)²-1

(-2,-1)

200

Describe the transformation of this parabola.

y=(x+4)²+2

Moved to the left 4 and up 2.

300

Write an equation for this description. 

A parabola that was stretched by 2, shifted to the left 3, and opens downward. 

y=-2(x+3)²

400

Write an equation for this transformed parent function. 

An absolute value that was compressed by 0.3, shifted to the left 1, and moved up 2. 

y=0.3|x+1|-2

500

Write an equation for this transformed parent function. 

An exponential function that was shifted right 4 units and moved up 2.

y=2^x-4+2

Factoring

100

Factor:

y=x²-4x-12

y=(x-6)(x+2)

200

Factor and solve:

0=x²+17x+72

0=(x+8)(x+9)

x=-8,-9

300

Factor:

10x²-7x-6

(5x-6)(2x+1)

400

Factor and solve:

0=x²-25

0=(x+5)(x-5)

x=5, -5

500

Factor:

y=2x²+8x+6

y=2(x+3)(x+1)

Random

100

What is the slope of this line?

4y=-3x+16

y=-3/4x+4

Slope=-3/4

200

Find the intersection point of these two lines:

y=x+3

y=12-2x

(3, 6)

300

Rewrite this equation in standard form:

y=2(x+3)²-22

y=2x²+12x-4

400

Rewrite this equation in vertex form:

y=x²-8x+15

y=(x-4)²-1

500

A football was kicked a distance of 16 feet and reached a maximum height of 32 feet. Write an equation for this scenario in vertex form. 

y=-0.5(x-8)²+32