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Worksheets

Parabolas

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Which of the following is a quadratic equation?

a)

    3s2 + s –4                                            

b)

     2x – 1 = 5

c)

m2 – 8m – 1 = 0                   

d)

   5y2 + 4y  7

2.

Given a, b, and c are real numbers and 𝑎 ≠ 0, which of the following is the standard form of   quadratic    equation?

a)

𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0  

b)

𝑎 = 𝑏𝑥 + 𝑐

c)

𝑎𝑥 + 𝑏 + 𝑐 = 0   

d)

𝑎𝑥 + 𝑏2 + 𝑐 = 0

3.

What must be added to 𝑥2 – 4𝑥 + _______ to make it a perfect square trinomial?

a)

2

b)

4

c)

8

d)

16

4.

What is the standard form of the quadratic equation 2x + (x – 4)(x + 1) = 9?

a)

x2 – x – 13 = 0          

b)

x2 + x + 13 = 0

c)

   x2 – 5x + 5 = 0

d)

x2 – 5x – 13 = 0

5.

Solve for the value of x in equation  4𝑥2 + 8𝑥 = 0.

a)

𝑥 = 0, −2 

b)

x= 2, −2 

c)

𝑥 = 1, 2         

d)

x = −1, −2

6.

The equation y = a(x + h)^2 + k is the equation of a parabola written in ________ form.

a)

Standard

b)

General

7.

The equation y = ax^2 + bx + c is the equation of a parabola written in _________ form.

a)

Standard

b)

General

8.

If the sign of the leading coefficient, a, is negative (a < 0), the parabola opens _______.

a)

Downward

b)

Upward

9.

If the sign of the leading coefficient, a, is positive (a > 0), the parabola opens _______.

a)

Downward

b)

Upward

10.

Read the following text and answer the following questions on the basis of the same. Due to heavy storm an electic wire got bent as shown in the figure. it followed aa mathematical shape. Answer the following questions below:- 1. Name the shape in which wire is bent

a)

Spiral

b)

Ellipse

c)

Linear

d)

Parabols

11.

If one of the Zeros of the quadratic polynomial (k-1)x^2 + kx+1 is -3, then the value of K is

a)

4/3

b)

-4/3

c)

2/3

d)

-2/3

12.

How many zeros are there for polynomial (shape the wire)

a)

2

b)

3

c)

1

d)

0

13.

The Zeros of the polynomial are

a)

-1, 5

b)

-1, 3

c)

3, 5

d)

-4, 2

14.

What is the value of the polynomial if x=-1

a)

6

b)

-18

c)

18

d)

0

15.

What will be the expression of the polynomial

a)

x2x^2  +2x + 3

b)

x2x^2  -2x +3

c)

x2x^2  -2x -3

d)

x2x^2  +2x + 3