Free Printable Chapter 2 Algebra 2 Honors Cumulative Review

1.

Describe the transformation of y = (x - 4)²

a)

Shift UP

b)

Shift DOWN

c)

Shift LEFT

d)

Shift RIGHT

2.

Match the equation to its description.

a)

Reflected over x and stretched by 3

b)

Stretched by 3

c)

Reflected over x

d)

Reflected over x and up 3

3.

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

a)

The graph is congruent and is translated down.

b)

The graph is wider and opens downward.

c)

The graph is congruent and is translated up.

d)

The graph is narrower and opens downward.

4.

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

a)

reflection, vertical compression, horizontal right, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x²

5.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

6.

If the blue graph 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

7.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

8.

If red represents y = x², which equation represents blue?

a)

y = 2x²

b)

y = -2x²

c)

y = -x²

d)

y = (x - 1)²

9.

Match the equation to its description.

a)

Vertical Stretched by 2 and translation up 4

b)

Vertical Compressed by 2 and translation up 4

c)

Horizontal Stretched by 2 and translation left 4

d)

Horizontal Compressed by 2 and translation right 4

10.

Write the equation of this transformation: reflection across x-axis, left 2, down 5

a)

y= -(x+2)²+5

b)

y= -(x+2)²

c)

y= (x-2)²-5

d)

y= -(x+2)²-5

11.

Write the equation of this transformation: reflection across x-axis, left 3, up 15

a)

y= -(x+3)²+15

b)

y= -(x+3)² - 15

c)

y= (x+3)²+15

d)

y= -(x+15)²+3

12.

Write the equation of this transformation: VC by a factor of 1/7 and up 2

a)

y= 7x² + 2

b)

y= (x+1/7)² + 2

c)

y= 1/7x² + 2

d)

y= 1/7x² - 2

13.

Write the equation of a quadratic that is reflected over the x-axis and shifted up 6.

a)

$y=-x^2$

b)

$y=-x^2+6$

c)

$y=-x^2-6$

d)

$y=-6x^2$

14.

Create an equation for a parabola that shifts left 2 and down 5.

a)

$y=\left(x-2\right)^2-5$

b)

$y=\left(x+2\right)^2-5$

c)

$y=\left(x-2\right)^2+5$

d)

$y=\left(x+2\right)^2+5$

15.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

16.

Determine the vertex of:

y = x² + 8x - 10

a)

(4,38)

b)

(-8,10)

c)

(-4,-26)

d)

(2,10)

17.

Given the function y = x²+ 2x - 16; what is the value of y when x = -2

a)

y = -16

b)

y = -24

c)

y = 0

d)

y = 8

18.

What is the graph of this function: y = x²- 4x

a)

b)

c)

d)

19.

What is the vertex of: y= (x+ 4)² - 5

a)

(4,-5)

b)

(-4,-5)

c)

(-4,5)

d)

(4,5)

20.

What is the axis of symmetry for
f(x)=4(x-2)² + 3

a)

4

b)

2

c)

x = -2

d)

x = 2

21.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

22.

Which equation is graphed above?

a)

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

b)

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

c)

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

d)

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

23.

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

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

24.

What are the x-intercepts for g(x) = (x + 8)(x + 2)

a)

8 and 2

b)

(8, 2)

c)

-8 and - 2

d)

(-8, -2)

25.

What is the axis of symmetry of the given function?

a)

x = -4

b)

x = 4

c)

x = -2

d)

x = 2

26.

What are the x-intercepts of the parabola?

y = x(x - 4)

a)

(0, 0) and (4, 0)

b)

(1, 0) and (4, 0)

c)

(0, 4)

d)

(-4, 0) and (0, 0)

27.

In f(x) = a(x - p)(x - q), what does "a" tell us?

a)

The slope

b)

If the Parabola opens up or down

c)

x coordinate of the x - intercept

d)

y coordinate of the y - intercept

28.

What is the equation for this parabola in factored form?

a)

y=(x+2)(x-1)

b)

y=(x-2)(x+1)

c)

y=(x-2)(x-1)

d)

y=(x+2)(x+1)

29.

What are the x intercepts of: $y=\left(3x-5\right)\left(x+2\right)$

a)

(5,0) and (-2,0)

b)

(-5,0) and (2,0)

c)

(5/3, 0) and (-2,0)

d)

(3,0) and (-2,0)

30.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

31.

Which graph below matches up with the equation?

y = -⅕(x-6)(x-1)

a)

b)

c)

d)

32.

Convert the following factored form equation to standard form $y=\left(2x+3\right)\left(3x+4\right)$

a)

$y=6x^2+17x+7$

b)

$y=6x^2+17x+12$

c)

$y=6x^2+8x+12$

d)

$y=6x^2+9x+12$

33.

The focus is always inside the parabola.

a)

true

b)

false

34.

What direction does the parabola point?

a)

Up

b)

Down

c)

Left

d)

Right

35.

Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y=-4.

a)

y = (1/16)x²

b)

y² = 4x

c)

y² = 16x

d)

y = (1/4)x²

36.

Find the vertex, focus, and directrix of the parabola: -(1/40)x² = y

a)

Vertex: (0, 0) Focus: (-20,0) Directrix: x = 10

b)

Vertex: (0, 0) Focus: (0,10) Directrix: y=10

c)

Vertex: (0, 0) Focus: (0,10) Directrix: y=-10

d)

Vertex: (0, 0) Focus: (0, -10) Directrix: y = 10

37.

Identify the vertex, focus, axis of symmetry, directrix, direction of opening, and graph of the parabola.
$x^2=2y$

a)

A

b)

B

c)

C

d)

D

38.

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

a)

y\ =\ \frac{1}{24}\left(x+3\right)^2+1

b)

$y\ =\ \frac{1}{24}\left(x-3\right)^2-1$

c)

$y\ =\ -\frac{1}{24}\left(x+3\right)^2-1$

d)

$y\ =\ -\frac{1}{24}\left(x-3\right)^2-1$

39.

If a parabola has a focus at (0,3) and a vertex at the origin...what is the equation of the directrix?

a)

y=3

b)

y=-3

c)

x=3

d)

x=-3

40.

If a parabola has a focus at (3,0) and a vertex at the origin...what is the equation of the directrix?

a)

y=3

b)

y=-3

c)

x=3

d)

x=-3

Chapter 2 Algebra 2 Honors Cumulative Review

Total questions: 40

Worksheet time: 3hrs 42mins

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