Transformations and Quadratic Equations

Transformations

100

Describe the transformation of the following equation. (Parent graph is x²)

x²+4

Four up

200

Describe the transformation of the following equation. (Parent graph is x²)

(x+4)²

Four units to the left

300

Describe the transformation of the following equation. (Parent graph is x²)

(x-2)²-10

2 units to the right and 10 units down

400

Describe the transformation of the following equation. (Parent graph is x²)

4(x+7)²+10

- Narrower

- 7 units to the left

- 10 units up

500

Describe the transformation of the following equation. (Parent graph is x²)

-0.5(x-7)²+1

-Reflected over the x axis

- 7 units to the left

- Wider

- one up

Random 1

100

Y intercept of 40(1.45)^X

40

200

Is the following function increasing or decreasing?

23(0.95)^x

Decreasing

300

Factor 7m²-20m-3

a) (m-3)(7m-1)

b) (m+3)(7m+21)

c) (m+3)(7m-1)

c) (m+3)(7m-1)

400

Factor  x²+3x-10

(x-2)(x+5)

500

What is the solution to this equation?

-4(2m-7)=3(52-4m)

32

Quadratic Equations

100

Direction of opening of

4x²-4x-2

Down

200

Does x²-4x+4 have a minumum or maximum

Minimum

300

Number of zeros of

x²+1

None

400

What is the axis of symmetry of 

-x²-4x+4

x=-2

500

Find the zeros of

x²-4x=12

-2 and 6

Exponents

100

(x²)(x⁵)

x⁷

200

(x⁵)²

x¹⁰

300

Simplify: (x²y⁴)(x⁶y⁶)

x⁸y¹⁰

400

Simplify 

(x^2*y^3)/(x*y^6)

x/y^3

500

Simplify 

(x^-2*y^2)/(x

1/(x^4*y^3

Random 2

100

Is domain x or y?

x

200

Which describes the function f(x) = 2(7)^x ?

a) linear

b) quadratic

c) not here

c) not here (exponential)

300

Find the slope:

(3,2) (5,6)

2

400

Is 8x+3y>4 represented with a solid line or dotted line?

dotted line

500

What is the range of x²+4?

4<y<infinity

All real number greater than 4