Quiz about ALGEBRA 2 1ST SEMESTER FINAL

Question 1

Factor: x²+16x+64
WHAT TWO NUMBERS MULTIPLY TO 64
AND ADD UP TO 16?

Accepted Answer

(x+8)(x+8)

Answer

(x+2)(x+32)

Question 2

Factor x² + 12x + 20
WHAT TWO NUMBERS MULTIPLY TO 20
AND ADD UP TO 12?

Accepted Answer

(x + 2)(x + 10)

Answer

(x + 7)(x + 5)

Answer

(x + 6)(x + 6)

Question 3

Factor x² + 7x + 12
What two numbers ADD UP TO 7
and MULTIPLY to 12.

Accepted Answer

(x + 3)(x + 4)

Answer

(x + 2)(x + 5)

Answer

(x + 1)(x + 6)

Question 4

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

x=5

Question 5

Does this parabola have a maximum or minimum?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.

Accepted Answer

Minimum

Answer

Maximum

Question 6

Does this parabola have a minimum or maximum and what is its value?

REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.

Accepted Answer

maximum: 5

Answer

minimum: 2

Answer

maximum: 2

Answer

minimum: 5

Question 7

What are the x- intercepts?

These are also known as the roots, zeroes and solutions!!

These are the points where the parabola goes through the X - AXIS

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Question 8

How many roots does this parabola have?
These are the points where the parabola goes through the X - AXIS

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 9

Is this a max or min?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.

Accepted Answer

max

Answer

min

Question 10

If the a value is positive, which direction does the graph open?

Accepted Answer

up

Answer

down

Question 11

If the a value is negative, which direction does the parabola open?

Accepted Answer

down

Answer

up

Question 12

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Question 13

What is the green dot on the parabola called?

Accepted Answer

vertex

Answer

roots

Question 14

The equation for the axis of symmetry for this parabola is...

Accepted Answer

x = -2

Answer

x = 0

Question 15

Which of the following equations matches standard form of a quadratic?

Accepted Answer

y = ax² + bx + c

Answer

y = mx + b

Question 16

If given the equation

y = 3(x + 5)² - 4,

what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Question 17

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

Accepted Answer

Maximum

Answer

Minimum

Question 18

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Question 19

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

x = 3

Question 20

Which equation has a vertex of (-3, 4)?

Accepted Answer

y = 2(x+3)²+ 4

Answer

y = 2(x - 3)² + 4

Question 21

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Axis of Symmetry

Question 22

What is the vertex of the parabola: y=2(x-3)²+4

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 23

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

Accepted Answer

down

Answer

up

Question 24

How did we transform from the parent function?

y = x² + 2

Accepted Answer

vertical shift up

Answer

vertical shift down

Question 25

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

Accepted Answer

g(x)=f(x - 3)

Answer

g(x)=f(x + 3)

Question 26

What is the DOMAIN of this graph?

Accepted Answer

x > -3

Answer

x < -3

Question 27

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain.
Remember: Domain is x
(x,y)

Accepted Answer

D:{0, 1, 2, -4}
R:{1, -3, -4}

Answer

D: {1, -3, -4,}
R: {0, 1, 2, -4}

Answer

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

Question 28

Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function!

Accepted Answer

No, because the vertical line test shows there are repeating input values

Answer

Yes, because the vertical line test shows there are no repeating input values

Question 29

Which graph does NOT pass the vertical line test?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 30

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
Range is the y values
(x,y)

Accepted Answer

-2, 3, 8, 10

Answer

-4, 4, 8, 9

Answer

(9, -2) ( 4, 3)

Answer

(8, 10) (-4, 8)

Question 31

Identify the domain of the following relation:
Remember domain is the "x" values

Accepted Answer

-6, 0, 2, 4

Answer

-6, 14, 2, 28

Answer

(-6,14), (0,32), (2,38), (4,44)

Answer

14, 32, 38, 44

Question 32

Evaluate f(-2) if f(x) = x+3

Accepted Answer

1

Answer

-1

Answer

5

Answer

-5

Question 33

For the function f(x) = -3(x-1) find f(0).

Accepted Answer

3

Answer

0

Answer

-3

Answer

-1

Question 34

Given g(x) =
4x - 7, find g(-9).

Accepted Answer

g(-9) = -43

Answer

g(-9) = 29

Question 35

Given h(x) = -9x +5, find h(8).

Accepted Answer

h(8) = -67

Answer

h(8) = -360

Question 36

Does this mapping diagram represent a function?

Accepted Answer

Yes, because there are no repeating input values

Answer

No, because there are repeating input values

Question 37

How do you write an ordered pair?

Accepted Answer

(X,Y)

Answer

(X,X)

Answer

(Y,X)

Answer

(Y,Y)

Question 38

evaluate bc + 5a
when a = 3, b = 4, and c = -6

Accepted Answer

-9

Answer

9

Answer

38

Answer

-38

ALGEBRA 2 1ST SEMESTER FINAL

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