Quiz about Review for Spring Final Algebra 2 ND

Question 1

Which parent function matches the graph?

Accepted Answer

y = x2

Answer

y = |x|

Answer

y = x

Answer

y = 2x

Question 2

What type of function is shown?

Accepted Answer

linear

Answer

absolute value

Answer

quadratic

Answer

exponential

Question 3

What type of function is shown?

Accepted Answer

absolute value

Answer

linear

Answer

quadratic

Answer

square root

Question 4

Which equation below is a quadratic function translated up 5 units?

Accepted Answer

y = x² + 5

Answer

y = (x + 5)²

Answer

y = 5x2

Answer

y = -x² - 5

Question 5

Which equation below is a quadratic function translated left 4 units?

Accepted Answer

y = (x + 4)²

Answer

y = x² + 4

Answer

y = (x - 4)²

Answer

y = 4x2

Question 6

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

Accepted Answer

y = -x² + 2

Answer

y = x² + 2

Answer

y = x² - 2

Answer

y = -(x + 2)²

Question 7

Tell how the graph transformed.
y = (x - 3)²

Accepted Answer

Translated right 3

Answer

Translated left 3

Answer

Translated up 3

Answer

Translated down 9

Question 8

Is this a max or min?

Accepted Answer

max

Answer

min

Answer

cannot be determined

Question 9

What is the domain of this function?

Accepted Answer

$$\left(-\infty,\infty\right)$$

Answer

$$\left(-\infty,2\right)$$

Answer

$$\left(2,\infty\right)$$

Answer

$$\left(-\infty,-3\right]$$

Question 10

What is the range of this function?

Accepted Answer

$$\left(-\infty,-3\right]$$

Answer

$$\left(-\infty,2\right)$$

Answer

$$\left(-\infty,\infty\right)$$

Answer

$$\left(2,\infty\right)$$

Question 11

Describe the transformation from the parent function (red) to the transformation (blue).

Accepted Answer

Shifted Up 3

Accepted Answer

Shifted Right 4

Accepted Answer

Reflected across the x - axis

Answer

Shifted Left 4

Answer

Shifted Down 3

Question 12

Select the transformations of $$g\left(x\right)$$ compared to $$f\left(x\right)$$ . $$f\left(x\right)=\left(x-2\right)^2-5\ \rightarrow\ f\left(x\right)=x^2$$

Accepted Answer

$$g\left(x\right)$$ has been translated right 2 units and down 5 units from $$f\left(x\right)$$

Answer

$$g\left(x\right)$$ has been translated left 2 units and up 5 units from $$f\left(x\right)$$

Answer

$$g\left(x\right)$$ has been translated left 2 units and down 5 units from $$f\left(x\right)$$

Answer

$$g\left(x\right)$$ has been translated right 2 units and up 5 units from $$f\left(x\right)$$

Question 13

Identify the shift changes from the quadratic parent function:

Parent Function: $$y=x^2$$

New Function: $$y=-\left(x+2\right)^2-4$$

Accepted Answer

Reflects (Flips) across the x-axis

Accepted Answer

Shifts Down 4

Accepted Answer

Shifts Left 2

Answer

Shifts Up 4

Answer

Shifts Right 2

Question 14

Which of the following represents the simplest form of $$\sqrt{50}$$ ?

Accepted Answer

$$5\sqrt{2}$$

Answer

$$25\sqrt{2}$$

Answer

$$2\sqrt{5}$$

Answer

$$25$$

Question 15

Graph the function

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 16

All of the x values or inputs are called what?

Accepted Answer

Domain

Answer

Range

Answer

Relation

Answer

Function

Question 17

f(n)=n²+4n
g(n)=-n-5
Find f(n)+g(n)

Accepted Answer

n2+3n-5

Answer

-n3+2n-7

Answer

n3+3n-3n

Answer

n2-3n-5

Question 18

All of the y values or outputs are called what?

Accepted Answer

Range

Answer

Domain

Answer

Relation

Answer

Function

Question 19

If $$f(x)=4x+1$$ and $$g(x)=4x-3$$

Find $$f(x)*g(x)$$

Accepted Answer

$$16x^2-8x-3$$

Answer

$$16x^2+8x-3$$

Answer

$$16x^2-8x+3$$

Answer

$$16x^2-16x-3$$

Question 20

If $$f(x)=3x^2+4$$ and $$g(x)=-2x+2$$ ,

find $$(g+f)(-3)$$ .

Accepted Answer

39

Answer

-27

Answer

-23

Answer

-19

Question 21

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

Accepted Answer

6x2 + 4

Answer

10x2

Answer

18x2 + 4

Question 22

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

Accepted Answer

4

Answer

16

Answer

-4

Answer

None of these.

Question 23

What is the inverse of the points (1,3)(2,4)(6,2)

Accepted Answer

(2,6)(3,1)(4,2)

Answer

(-3,-1)(-4,-2)(-2,-6)

Answer

(1,3)(2,4)(6,2)

Answer

(-1,-3)(-2,-4)(-6,-2)

Question 24

What does it mean to find the inverse of a function?

Accepted Answer

the x's and y's are switched

Answer

the x's and y's are divided by 2

Answer

the x's and y's are made negative

Answer

the x's and y's are the same

Question 25

$$f\left(x\right)=\frac{x-2}{6}$$
Find $$f^{-1}\left(x\right)$$

Accepted Answer

$$6x+2$$

Answer

$$\frac{x-6}{2}$$

Answer

$$2x+6$$

Answer

$$6\left(x+2\right)$$

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