IM2 Unit 3 Exam Review

Transformations of Functions

100

The transformation from f(x)=x² to 

g(x)=x²-5

What is Vertical shift down 5 units?

200

The transformation from 

f(x) = x² to 

g(x) = (x - 5)² 

What is Horizontal shift right 5 units.

300

The transformations from 

f(x) = x² to 

g(x) = -4(x + 2)². 

What is Reflection across the x-axis, vertical stretch by a factor of 4, and horizontal shift left 2 units.

400

The transformations from f(x) = x² to 

g(x) = (1/2)(x - 1)² + 3.  

What is Vertical compression by a factor of 1/2, horizontal shift right 1 unit, vertical shift up 3 units. 

500

The transformations from f(x) = x² to 

g(x) = -3(x + 4)² - 6. 

What is Reflection across the x-axis, vertical stretch by a factor of 3, horizontal shift left 4 units, vertical shift down 6 units. 

Converting from Vertex Form to Standard Form

100

The function 

g(x) = (x - 3)² + 5 

written in standard form 

g(x) = ax² + bx + c. 

What is

g(x) = x² - 6x + 14?

200

The function 

g(x) = (x + 4)² - 10 

written in standard form 

g(x) = ax² + bx + c.

What is

g(x) = x² + 8x + 6?

300

The function 

g(x) = 3(x - 2)² + 1 

written in standard form 

g(x) = ax² + bx + c.

What is

g(x) = 3x² - 12x + 13?

400

The function 

g(x) = -2(x + 1)² - 6 

written in standard form 

g(x) = ax² + bx + c.

What is

g(x) = -2x² - 4x - 8?

500

The function

g(x) = -4(x - 3)² + 15 

written in standard form 

g(x) = ax² + bx + c.

What is

g(x) = -4x² + 24x - 21?

Converting from Standard Form to Vertex Form

100

The function

g(x)= x² + 6x + 8 

written in vertex form 

g(x)= a(x - h)² + k.

What is

g(x) = (x + 3)² - 1?

200

The function

g(x)= x² - 10x + 20 

written in vertex form 

g(x)= a(x - h)² + k.

What is

g(x) = (x - 5)² - 5?

300

The function

g(x) = x² - 6x + 4 

written in vertex form

g(x) = a(x - h)² + k.

What is

g(x)= (x - 3)² - 5?

400

The function

g(x) = 2x² + 12x + 13 

written in vertex form 

g(x) = a(x - h)² + k.

What is

g(x) = 2(x + 3)² - 5?

500

The function

g(x) = -3x² + 6x + 7 

written in vertex form 

g(x) = a(x - h)² + k.

What is

g(x) = -3(x - 1)² + 10?

Solving Quadratics using Zero Product Property

100

The zeros of: 

g(x) = (x - 9)(x + 3). 

What is 

x = 9, x = -3?

200

The zeros of: 

g(x) = x(x - 7)

What is 

x = 0, x = 7?

300

The zeros of: 

g(x) = 3(x - 2)(x + 4)

What is 

x = 2, x = -4?

400

The zeros of: 

g(x) = (2x + 3)(x - 1)

What is 

x = -3/2, x = 1?

500

The zeros of: 

g(x) = (2x - 1)(3x + 5)

What is 

x = 1/2, x = -5/3?

Key Features of Quadratics

100

The vertex of: 

g(x) = 5(x - 3)² + 8

What is (3, 8)?

200

The axis of symmetry of: 

g(x) = -(x + 7)² - 1

What is x = -7?

300

The a-value of: 

g(x) = 2x² - 8x + 15

What is a = 2?

400

The vertex of: 

g(x) = x² - 10x + 2.

What is (5, -23)?

500

The vertex of: 

g(x) = 3x² - 12x + 7?

What is (2, -5)?