Free Printable Alg2 Ch2 Quadratic Functions

1.

What is the vertex of the graph F(x) = (x + 4)²+ 3

a)

Vertex ( 3,4)

b)

Vertex (4,3)

c)

Vertex: ( -4, 3)

d)

Vertex: (3,-4)

2.

How is the parabola F(x) = -3(x+5)²+7 opening?

a)

Opening Upward

b)

Opening Downward

3.

What is the minimum value of the function

F(x)= 2(x + 5)²+ 7

a)

2

b)

5

c)

7

d)

-5

4.

Which graph represents the function F(x)= (x+4)²- 6

a)

b)

c)

d)

5.

Which factored form represents the graph?

a)

F(x)= (x+1)(x+5)

b)

F(x) = (x+5)(x+2)

c)

F(x) = (x-1)(x-5)

d)

F(x) = (x+3)(x-4)

6.

Which graph will be the narrowest?

a)

F(x) = -10(x + 4)²- 6

b)

F(x) = 12(x + 4)²- 6

c)

F(x) = 6(x + 4)²- 6

d)

F(x) = 0.5(x + 4)²- 6

7.

Which graph will be the widest?

a)

F(x) = 0.2(x + 4)²- 6

b)

F(x) = 0.7(x + 4)²- 6

c)

F(x) = 5(x + 4)²- 6

d)

F(x) = -6(x + 4)²- 6

8.

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

a)

horizontal shift right 5 units

b)

horizontal shift left 5 units

c)

vertical shift up 5 units

d)

vertical shift down 5 units

9.

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

a)

Vertical stretch by a factor of 5

b)

Vertical compress by a factor of 5

c)

Reflect over x-axis

d)

Vertical shift up 5 units

10.

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

a)

Vertical Stretch by a factor of 2 and vertical shift up 4 units

b)

Vertical Compress by a factor 2 and vertical shift up 4

c)

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

d)

Vertical Compress by a factor of 2 and horizontal shift right 4 units

11.

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

a)

f(x)= 3/5(x-8)²

b)

f(x)=3/5x²+8

c)

f(x)=x²

d)

f(x)=3/5x²-8

12.

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

a)

f(x)= -x²-17

b)

f(x)= -(x-17)²

c)

f(x)= -(x+17)²

d)

f(x)= -x²+17

13.

What would the equation for the new quadratic function be if it was vertically shifted up 3 units from the function f(x)=4x²+2?

a)

g(x)=x²+3

b)

g(x)=7x²+2

c)

g(x)=4x²+3

d)

g(x)=4x²+5

14.

If the yellow curve has equation f(x)=x²,

a)

Then the blue curve is f(x) = x²- c

b)

Then the blue curve is f(x) = (x+c)²

c)

Then the blue curve is f(x) = (x-c)²

d)

Then the blue curve is f(x) = x² + c

15.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

a)

shifted up five units
reflection in x-axis

b)

shifted down five units
reflection in x-axis

c)

shifted left 5 units
reflection x-axis

d)

shifted right 5 units
reflection x-axis

16.

y = ax²+ bx + c is

a)

a quadratic equation in vertex form

b)

a linear equation in vertex form.

c)

a quadratic equation in standard form.

d)

a linear equation in standard form.

17.

What piece of information does h identify in the following equation?

y = a(x - h)²+ k

a)

y value of the vertex

b)

x value of the vertex

c)

Direction (facing up or down)

d)

x-intercept

18.

Given the equation for this parabola:

y = - (x - 4)²- 3,

does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

c)

Not enough information

19.

Rewrite the equation in vertex form
y = -2x² +8x-6

a)

y = 2(x+2)²-2

b)

y = -2(x-2)²+2

c)

y = -2(x-2)²-2

d)

y = 2(x-2)²+2

20.

Which is the vertex of y = x²+ 16x + 71 ?

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

21.

What is the vertex?

y = x² + 6x - 5

a)

-3

b)

-14

c)

(3, -14)

d)

(-3, -14)

22.

$y=-4x^2-2x+8$
This parabola has a...

a)

Minimum

b)

Maximum

23.

$y=2x^2-8x+10$ Find the x-coordinate of the vertex.

a)

$x=2$

b)

$x=-2$

c)

$x=\frac{1}{4}$

d)

$x=-4$

24.

Given that the x-coordinate of the vertex is 2, what is the axis of symmetry?

a)

$x=-2$

b)

$\left(2,0\right)$

c)

$\left(0,-2\right)$

d)

$x=2$

25.

Given that the x-coordinate of the vertex is 2, what is the y-coordinate of this equation? $y=2x^2-8x+10$

a)

$y=0$

b)

$y=2$

c)

$y=-4$

d)

$y=18$

26.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

27.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

28.

What are the x-intercepts (zeros)?

a)

x = -2 and x = 2

b)

x = -1 and x = 1

c)

x = 0

d)

x = 2 and x = -4

29.

What is the equation for the axis of symmetry?

a)

x = -1

b)

x = 8

c)

x = 1

d)

x = -3

30.

The quadratic equation is written in what form?

a)

Standard Form

b)

Vertex Form

c)

Factored Form

31.

This quadratic equation is in "Standard Form." This form can help us identify what information easily?

a)

the y-intercept

b)

the vertex

c)

the zeroes/roots

32.

This quadratic equation is in "Factored Form." This form can help us identify what information easily?

a)

the y-intercept

b)

the vertex

c)

the zeroes/roots

33.

This quadratic equation is in "Vertex Form." This form can help us identify what information easily?

a)

the y-intercept

b)

the vertex

c)

the zeroes/roots

34.

In which form is this equation? y = (x - 3)² + 4

a)

Standard

b)

Intercept

c)

Vertex

d)

Parabolic

35.

Which form is this in? y = 3x² - 7x + 2

a)

Intercept

b)

Standard

c)

vertex

d)

Cubic

36.

What's another name for the x-intercepts?

a)

Roots

b)

Vertices

c)

axis of symmetry

d)

Minimums

37.

Which is parabola opens downward?

a)

y = x² - 5x - 4

b)

y = (x - 3)² - 8

c)

y = -3x + 2

d)

y = -x² + 2x - 7

38.

What is the "b" term of this equation? y = 2x² - 5x + 10

a)

10

b)

-5

c)

2

d)

0

39.

In which form is this equation? y = (x - 3)(x + 8)

a)

Standard

b)

Intercept

c)

Vertex

d)

Parabolic

40.

How do you convert y = 2x² - 5x + 10 to vertex form?

a)

Factor

b)

(p+q)/2

c)

Complete the square

d)

Quadratic Formula

41.

Which is NOT a way to solve a quadratic?

a)

Complete the square

b)

Factor

c)

Quadratic Formula

d)

Plug in zero for x

42.

What's another name for the x-intercepts?

a)

Factors

b)

Domain

c)

Range

d)

Zeros

43.

How do you convert y = 2x² - 5x + 10 to Intercept form?

a)

Factor

b)

Complete the Square

c)

(p+q)/2

d)

-b/2a

44.

Convert the following function into standard form: $f\left(x\right)=\ 3\left(x-2\right)^2+1$

a)

$f\left(x\right)=\ 3x^2-12x+13$

b)

$f\left(x\right)=3\left(x+2\right)\left(x+1\right)$

c)

$f\left(x\right)=3\left(x+2\right)\left(x-1\right)$

d)

$f\left(x\right)=3x^2-12x-11$

45.

Convert the following function into standard form: $f\left(x\right)=-\left(x+2\right)^2–5$

a)

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

b)

$f\left(x\right)=-\left(x-2\right)\left(x-9\right)$

c)

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

d)

$f\left(x\right)=-x^2-4x-9$

46.

Convert to standard form: $y=\left(x+5\right)^2-15$

a)

$y=x^2+10$

b)

$y=x^2+10x\ +10$

c)

$y=x^2+25$

d)

$y=x^2+10x+25$

47.

Convert to Standard Form:

f(x) = (x+7)(x-3)

a)

f(x) = x² +10x +21

b)

f(x) = x² -10x -21

c)

f(x) = x² +4x -21

d)

f(x) = x² +4x +21

48.

Convert to vertex form: $y=x^2-12x+30$

a)

$y=\left(x-6\right)^2+6$

b)

$y=\left(x+6\right)^2-36$

c)

$y=\left(x-6\right)^2$

d)

$y=\left(x-6\right)^2-6$

49.

Convert to Factored Form:

x² - 10x + 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

50.

The focus is always inside the parabola.

a)

true

b)

false

51.

A parabola is the set of all points equidistant from the focus and the directrix.

a)

true

b)

false

52.

All parabolas with a vertical directrix open the left or right.

a)

true

b)

false

53.

True or False?
When the x-part is squared, the parabola opens up or down.

a)

True

b)

False

54.

What direction does the parabola point?

a)

Up

b)

Down

c)

Left

d)

Right

55.

(y-4)² = -8(x+1)
What direction does this parabola open?

a)

up

b)

down

c)

left

d)

right

56.

(y-4)² = -8(x+1)
What are the coordinates for the focus?

a)

(1,4)

b)

(-1,6)

c)

(-1,2)

d)

(-3,4)

57.

(x+3)² = 4(y+5)
What is the equation of the directrix?

a)

x = 4

b)

x = 2

c)

y = -4

d)

y = -6

58.

Given this directrix and vertex, what would the equation of the parabola be?

a)

(y-2)² = 12(x-1)

b)

(y-2)² = 6(x-1)

c)

(x-1)² = 12(y-2)

d)

(x-1)² = 6(y-2)

Alg2 Ch2 Quadratic Functions

Total questions: 58

Worksheet time: 4hrs 56mins

Similar Resources on Wayground