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quadratic 02

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Determine the maximum or minimum point and state the equation of the axis of symmetry for each graph of quadratic function below.

a)

maximum point (4, - 15)

b)

maximum point (- 15, 4)

c)

minimum point (4, - 15)

d)

minimum point (- 15, 4)

2.

Determine the maximum or minimum point and state the equation of the axis of symmetry for each graph of quadratic function below.

a)

maximum point (-2, 4)

b)

maximum point (-4, 0)

c)

maximum point (0, 0)

d)

maximum point (-2, 0)

3.

For the graph of a quadratic function  f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c  , the smaller the value of a, the _____  the curved shape of the graph and vice versa.

a)

narrower

b)

wider

4.

For the graph of a quadratic function  f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c  if a > 0, b > 0, then the axis of symmetry lies on the ____ of the y - axis

a)

left

b)

right

c)

center

5.

For the graph of a quadratic function  f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c  if a > 0, b = 0, then the axis of symmetry is the _____.

a)

x - axis

b)

y - axis

6.

For the graph of a quadratic function  f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c  if a < 0, b < 0, then the axis of symmetry lies on the ____ of the y - axis

a)

left

b)

right

7.

For the graph of a quadratic function  f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c , the value of c determines the ____ of the graph.

a)

x - intercept

b)

y - intercept

8.

The quadratic function  f(x)=x23x+cf\left(x\right)=x^2-3x+c  passes through a point A as given below. Calculate the value of c for each of the following cases.
Point A (0, 4)

a)

1

b)

3

c)

4

d)

0

9.

The quadratic function  f(x)=x23x+cf\left(x\right)=x^2-3x+c  passes through a point A as given below. Calculate the value of c for each of the following cases.
Point A ( - 1, 3)

a)

-3

b)

-1

c)

1

d)

3

10.

 ax2+bx+c=0ax^2+bx+c=0  
What is this?

a)

Quadratic function

b)

Quadratic expression

c)

Quadratic equation

d)

Quadratic graph

11.

 f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c  
What is this?

a)

Quadratic function

b)

Quadratic expression

c)

Quadratic equation

d)

Quadratic graph

12.

A piece of land with a length of  (x+20)\left(x+20\right)  m and a width of  (x+5)\left(x+5\right)  m.
Which is the function of area, A m2, of the land?

a)

 x2+25x+100x^2+25x+100  

b)

 x2+100x+25x^2+100x+25  

c)

 x2100x+25x^2-100x+25  

d)

 x2+25x+25x^2+25x+25  

13.

Aiman is 4 years older than his younger brother. The product of Aiman and his younger brother's ages is equal to their father's age. The father is 48 years old and Aiman's younger brother is p years old.

Which is the quadratic equation in terms of p?

a)

p24p48=0p^2-4p-48=0

b)

p2+4p48=0p^2+4p-48=0

c)

p24p+48=0p^2-4p_{ }+48=0

d)

p2+4p+48=0p^2+4p+48=0

14.


the roots of quadratic equation are the values of ___ that satisfy the equation 
 3x27x+5=03x^2-7x+5=0  

a)

w

b)

x

c)

y

d)

z

15.

which is the roots of the given quadratic equation

a)

-4, 20

b)

0, 20

c)

0, 4

d)

-4, 5

16.


determine whether the following values is a root of the given quadratic equation
 x25x+6=0;x=3,x=2x^2-5x+6=0;x=3,x=2  

a)

true

b)

false

c)

so so

17.


determine whether the following values is a root of the given quadratic equation
 2x2x1=0; x=1,x=122x^2-x-1=0;\ x=1,x=\frac{1}{2}  

a)

true

b)

false

18.


determine whether the following values is a root of the given quadratic equation
 (x1)(x+4)=0; x=4, x=2, x=1\left(x-1\right)\left(x+4\right)=0;\ x=-4,\ x=2,\ x=1  

a)

true

b)

false

19.

 choose the roots for the given quadratic equation.
 3(2+x)(x4)=03\left(2+x\right)\left(x-4\right)=0 

a)

-4

b)

-2

c)

2

d)

4

20.

for the graph of quadratic function below, choose the value of root of the quadratic equation f(x) = 0

a)

1

b)

-3

c)

15

d)

5