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IM2 Target 24-28 Quiz

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

2.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: y < 4

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ 4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

3.

Where is the function decreasing?

a)

(2,∞)\left(2,\infty\right)

b)

(1,∞)\left(1,\infty\right)

c)

(2,−∞)\left(2,-\infty\right)

d)

(−∞,1)\left(-\infty,1\right)

4.

Where is the function increasing?

a)

 (−∞,−2)\left(-\infty,-2\right)  

b)

 (1,∞)\left(1,\infty\right)  

c)

 (−2,∞)\left(-2,\infty\right)  

d)

 (2,∞)\left(2,\infty\right)  

5.

What steps transform the graph y = x2 to y = x2 + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

6.

What steps transform the graph y = x2 to y = 2(x + 4)2 - 3

a)

shifted left 4 and down 3 units

b)

shifted right 4 and up 3 units

c)

shifted left 4 and up 3 units

d)

shifted right 3 and up 4 units

7.
. 
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
8.

.

If the red is f(x)=x2, then the blue must be

a)

g(x)= (x - 3)2 + 4

b)

g(x)= (x + 3)2 - 4

c)

g(x)= (x - 4)2 + 3

d)

g(x)= (x + 3)2 + 4

9.
What equation represents the quadratic function?
a)
y = (x - 7)2 - 2
b)
y = (x + 7)2 + 2
c)
y = (x + 7)2 - 2
d)
y = (x + 2)2 + 7
10.

.

If the red is f(x)=x2, then the blue must be

a)

g(x)= -(x+5)2+3

b)

g(x)=(x+5)2+3

c)

g(x)=-(x-5)2-3

d)

g(x)=-(x+5)2-3

11.

Write coordinate notation to show mapping of each point from parent function to translated function.

a)

(x,y) >> (x-2, y+4)

b)

(x,y) >> (x-4, y+2)

c)

(x,y) >> (x+4, y+2)

d)

(x,y) >> (x+4, y-2)

12.

Write coordinate notation to show mapping of each point from parent function to translated function.

a)

(x,y) >> (x-5, y-3)

b)

(x,y) >> (x+5, y-3)

c)

(x,y) >> (x+5, y+3)

d)

(x,y) >> (x-5, y+3)

13.

Write coordinate notation to show mapping of each point from parent function to translated function.   y=(x+2)2−7y=(x+2)^2-7  

a)

(x,y) >> (x-2, y+7)

b)

(x,y) >> (x-2, y-7)

c)

(x,y) >> (x+2, y+7)

d)

(x,y) >> (x+2, y-7)

14.

Compared to the parent function,  f(x)=x2f\left(x\right)=x^2  , which of the following is the equation of the function after a vertical stretch by a factor of 3?

a)

 (3x)2\left(3x\right)^2  

b)

 (x+3)2\left(x+3\right)^2  

c)

 3x23x^2  

d)

 (x2)3\left(x^2\right)^3  

15.

Compared to the parent function,  f(x)=x2f\left(x\right)=x^2  , which of the following is the equation of the function after a vertical compression by a factor of 1/3?

a)

 13x2\frac{1}{3}x^2  

b)

 (13x)2\left(\frac{1}{3}x\right)^2  

c)

 3x23x^2  

d)

 13x2\frac{1}{3x^2}