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Total questions: 15

Worksheet time: 14mins

Name
Class
Date
1.

Choose a quadratic function

a)

 y=x−72y=x-7^2  

b)

 y=(x+3)3y=\left(x+3\right)^3  

c)

 y=(14−x)2y=\left(\frac{1}{4}-x\right)^2  

d)

 y=3x2y=\frac{3}{x^2}  

e)

 y=−2x2−4x+5y=-2x^2-4x+5  

2.

Choose growth intervals of function  y=x2y=x^2  

a)

 x ∈ [0 ; +∞)x\ \in\ \left[0\ ;\ +\infty\right)  

b)

 x ∈(0 ; +∞)x\ \in\left(0\ ;\ +\infty\right)  

c)

 x ∈(−∞ ; 0)x\ \in\left(-\infty\ ;\ 0\right)  

d)

 x ∈(− ∞ ; 0]x\ \in\left(-\ \infty\ ;\ 0\right]  

3.

Choose the top of parabola  y=−x2+2y=-x^2+2  

a)

(2 ; 2)

b)

(-2 ; -2)

c)

(0 ; -2)

d)

(0 ; 2)

4.

Axis of symmetry of the function  y=x2+4x+4y=x^2+4x+4  is

a)

x = 4

b)

x = 2

c)

x = -2

d)

x = -4

5.

y maximum of the function  y=x2+3x−12y=x^2+3x-12  is  y=18y=\frac{1}{8}  

a)

yes

b)

no

6.

Zeros of function  y=(x−5)2y=\left(x-5\right)^2  is x = 5

a)

yes

b)

no

7.

Function  y=x2−4x+16y=x^2-4x+16  intersects Oy line in point

a)

(0; -16)

b)

(16; 0)

c)

(0; 16)

d)

(-16; 0)

8.

The top of the quadratic function  y=4x+x2y=4x+x^2  

a)

(-2; -4)

b)

 (−14; 18)\left(-\frac{1}{4};\ \frac{1}{8}\right)  

c)

(2; 4)

d)

 (14; 116)\left(\frac{1}{4};\ \frac{1}{16}\right)  

9.

Choose a quadratic function

a)

y=(x+1)2+4y=\left(x+1\right)^2+4

b)

y=(x+1)2−4y=\left(x+1\right)^2-4

c)

y=(x−4)2−1y=\left(x-4\right)^2-1

d)

y=(x−4)2+1y=\left(x-4\right)^2+1

e)

y=(x−1)2−4y=\left(x-1\right)^2-4

10.

Choose recession interval of this graph

a)

x∈[1; −2]x\in\left[1;\ -2\right]

b)

x∈[5; 0]x\in\left[5;\ 0\right]

c)

x∈[−2; 1]x\in\left[-2;\ 1\right]

d)

x∈[0; 5]x\in\left[0;\ 5\right]

11.

Choose correct formula of this function

a)

y=(x+1)2+4y=\left(x+1\right)^2+4

b)

y=(x−1)2+4y=\left(x-1\right)^2+4

c)

y=−(x−1)2+4y=-\left(x-1\right)^2+4

d)

y=−(x+4)2−1y=-\left(x+4\right)^2-1

e)

y=(x+4)2−1y=\left(x+4\right)^2-1

12.

 y=x2+2x−3. Choose y(0,5)y=x^2+2x-3.\ Choose\ y\left(0,5\right)  

a)

-1,75

b)

-2,75

c)

-1,5

d)

-2,25

13.

The top of parabola  y=−(x+4)2−5y=-\left(x+4\right)^2-5  is point

a)

 (−4; −5)\left(-4;\ -5\right)  

b)

 (4; −5)\left(4;\ -5\right)  

c)

 (5; 4)\left(5;\ 4\right)  

d)

 (4; 5)\left(4;\ 5\right)  

14.

Interval of familiarity, when  y<0y<0  is

a)

 (−3; 0)\left(-3;\ 0\right)  

b)

 (1; −3)\left(1;\ -3\right)  

c)

 (−3; 1)\left(-3;\ 1\right)  

d)

 (−2; 0)\left(-2;\ 0\right)  

15.

Choose domain of the function  y=(x+2)0x2−64y=\frac{\left(x+2\right)^0}{x^2-64}  

a)

 x∈Rx\in R  

b)

 x∈R    {8; −8}x\in R\ \ \ \ \left\{8;\ -8\right\}  

c)

 x∈R  {−8; −2;  8}x\in R\ \ \left\{-8;\ -2;\ \ 8\right\}  

d)

 x∈R {−2}x\in R\ \left\{-2\right\}