Algebra 1 Benchmark 3 Review

Quadratic Properties

100

Does the function open up or down? 

3x^2-x-2

Up

200

Does the function open up or down? 

-(-2x^2+3x-1)

Up

300

What is the y - intercept of the function below

-1/2x^2+x-3

(0,-3)

400

What is the value of the discriminant of the function graphed below? 

0

500

What is the vertex of the function

3x^2+6x+2

(-1,-1)

Factoring

100

The factors of a quadratic describe what part of the graph? 

x - intercepts

200

Factor the quadratic: 

f(x)=x^2-81

f(x)=(x+9)(x-9)

300

What is the standard form of a quadratic that has factors 

(x+1)(x-2)

x^2-x-2

400

Factor the quadratic: 

x^2+12x+35

(x+5)(x+7)

500

Factor the quadratic: 

4x^2+25x-21

(4x-3)(x+7)

Quadratic Formula

100

What is the quadratic formula? 

x=(-b±sqrt(b^2-4ac))/(2a)

200

What is the standard for of the following quadratic? 

2x^2+4=3x^2-5x+2

-x^2+5x+2=0

300

What is the value of

b^2-4ac

for the following quadratic?

x^2+10x-4

116

400

Use the quadratic Formula to find the roots of the function below. 

3x^2-5x-7=0

x=(5±sqrt(109))/6

500

Use the quadratic formula t find the roots of the function below. 

-2x^2+7x-6=0

x=3/2,2

Roots

100

What are the roots of the function graphed below? 

x=-2,3

200

How many roots does the function have? 

x^2-3x+2

2

300

What are the roots of the function? 

(x+3)(x+5)

x = -5,-3

400

What are the roots of the function? 

(3x+7)(2x-5)

x=-7/3,5/2

500

What are the roots of the function? 

3x^2+5x-2

x=-2,1/3

Quadratic Forms

100

What is the standard form of quadratics? 

ax^2+bx+c

200

Label a, b, & c for the following standard form quadratic: 

-1/2x^2+3/2x-2

a = -1/2

b = 3/2

c = -2

300

What are the x - intercepts of the following quadratic? 

(x-2)(3x+1)

x = -1/3, 2

400

What is the vertex of the following quadratic? 

3(x+1)^2+3

(-1,3)

500

What is the standard form of the quadratic graphed below? 

x^2-x-6