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Quadratics Part A

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

Select the statements that are true about this Graph

a)

This graph has a minimum

b)

This graph has a Maximum

c)

This graph has zeros of -3 and -1

d)

The vertex is located at (-2, 2)

e)

The graph has y-intercepts at (-3,0) and (-1, 0)

2.

Select the statements that are true about the graph

a)

The graph has a minimum

b)

This graph has a maximum.

c)

The solution of the quadratic function is represented by the graph is (-1, -4)

d)

The y-intercept is (0,-3)

e)

The roots of this quadratic function is -3 and 1

3.

Solve for x

 4x2=364x^2=36  

a)

 ±2\pm2  

b)

 ±3\pm3  

c)

 ±6\pm6  

d)

 ±9\pm9  

4.

Solve the following equation


 x2=64x^2=64  

a)

32

b)

 ±8\pm8  

c)

 ±9\pm9  

d)

8

5.

 Which of the following represents the factors of the expression
 x24x^2-4  

a)

 (x2)(x2)\left(x-2\right)\left(x-2\right)  

b)

 (x2)(x+2)\left(x-2\right)\left(x+2\right)  

c)

 (x2)2\left(x-2\right)^2  

d)

 (x4)2\left(x-4\right)^2  

6.

Tammy solved the equation x2x12=0x^2-x-12=0  
Select the factors of  x2x12x^2-x-12  

a)

(x+3)(x+4)

b)

(x-3)(x-4)

c)

(x+6)(x-2)

d)

(x-6)(x+2)

e)

(x+3)(x-4)

7.

Which of the following are solutions to  x2x12=0x^2-x-12=0 

a)

x=4 and x=-3

b)

x=4 and x=3

c)

x=2 and x=-6

d)

x=-6 and x=2

8.

Which of the statements is true for the function f(x)= 6x2+12x48f\left(x\right)=\ 6x^2+12x-48  

a)

The zeros are 2 and 4.

b)

The zeros are -2 and -4.

c)

The zeros are 2 and -4.

d)

The zeros are -2 and 8.

9.

Which of the following equations best represents the graph

a)

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

b)

y= (x-1)(x-3)

c)

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

d)

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

10.

Find the product of the following polynomial

 (5x+6)(2x4)\left(5x+6\right)\left(2x-4\right)  

a)

 7x27x-2  

b)

 7x2+2x27x^2+2x-2  

c)

 10x28x2410x^2-8x-24  

d)

 10x232x2410x^2-32x-24  

11.

Select the zeros for the function 

 h(x)= x(x+4)(x1)h\left(x\right)=\ x\left(x+4\right)\left(x-1\right)  

a)

x=4

b)

x=1

c)

x=0

d)

x=-1

e)

x=-4

12.

Using the function  h(x)=x(x+4)(x1)h\left(x\right)=x\left(x+4\right)\left(x-1\right)  

As  xx\rightarrow\infty , which statement describes the end behavior of  h(x)h\left(x\right)  

a)

 h(x)h\left(x\right)\rightarrow\infty  

b)

 h(x)h\left(x\right)\rightarrow-\infty  

c)

 h(x)4h\left(x\right)\rightarrow-4  

d)

 h(x)1h\left(x\right)\rightarrow1