Free Printable Algebra

Worksheets

Algebra

Total questions: 70

Worksheet time: 3hrs 26mins

Name

Class

Date

Does y = -5x² + 10x - 14 have a maximum or minimum?

minimum

maximum

What's the axis of symmetry of y = 3x² - 6x + 4?

x = 4

x = 6

x = 2

x = 1

Does the equation y = -3x² + 7x - 2 open up or down?

down

What are the solutions to this parabola?

(0, -4)

(-1, -4)

(1, 3)

(2, 1)

Determine the vertex of y = -3x² - 6x + 9

(1, 0)

(- 1, 18)

(3, - 36)

(- 1, 12)

What are the solution(s) to this parabola?

(0, 2)

(1, 3)

(-3, 1)

(-1, 3)

Determine the line of symmetry for

y = x² + 16x +64

x = 4

x = -8

x = 2

x = 64

What is the axis of symmetry?

the slope of the graph

the x-axis

the dividing line for a parabola

a way to spin my pencil

Determine the values of a, b and c for the quadratic equation 9x² - 14x + 5.

a = -14, b = 9, c = 5

a = 5, b = 9, c = - 14

a = 9, b = - 14, c = 5

a = x², b = x , c = 5

10.

Determine the vertex of y = x² + 8x - 10

(4, 38)

(- 4, - 26)

( - 8, 10)

(2, 10)

11.

What is the vertex?
y = -2x² + 4x + 3

(0, 3)

(-1, 5)

(1, 5)

(1, -5)

12.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

x = -4

x = 4

y = 4

y = -4

13.

What is the axis of symmetry?
y = 3x²- 6x + 4

x=1

x=-6

x=2

x=-1

14.

What is the vertex?
f(x) = -x²- 4x + 12.

(-2, 16)

(2, 0)

(2, 4)

(-2, 4)

15.

What is the vertex?

(2, 4)

(3, -1)

(0, 8)

(4, 2)

16.

What do we call the highest or lowest point of a quadratic?

parabola

vertex

graph

point

17.

How many zeros does this parabola have?

18.

What are the x- intercepts?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

19.

Is the graph shown above a max or min?

Maximum

Minimum

20.

What is a axis of symmetry?

all real numbers

y=5

the line that divides the graph in equal halves

y=mx+b

21.

Does this parabola open up or down?

y = 4x² - 3x - 9

down

22.

Determine the values of a, b and c for the quadratic equation 9x² - 14x + 5.

a = -14, b = 9, c = 5

a = 5, b = 9, c = - 14

a = 9, b = - 14, c = 5

a = x², b = x , c = 5

23.

Identify the values for a, b, and c. Y=6X²-3X+1

a=1, b=-3, c=6

a=Y, b=6, c=x

a=-3, b=1, c=6

a=6, b=-3, c=1

24.

Find a,b,c in the following equation. Y=X²+4

a=0, b=1, c=4

a=1, b=0, c=4

a=Y, b=x², c=4

a=4, b=1, c=Y

25.

What is the value of Y if x ={-2,-1,0,1 2} for $y=x^2+3x$

y={10,4,0,-2,-2}

y={-2,-2,0,4,10}

y={-2,0,0,4,10}

y={-2,-2,-2,-2}

26.

What is the value of Y if x+{-2,-1,0,1,2} for $y=-x^2-2x+5$

x={-3,2,5,6,5}

x={-2,-1,0,1,2}

x={5,6,5,2,-3}

x={5,5,5,5}

27.

Find the axis of symmetry for the equation y=x²+2

y=2

x=2

y=0

x=0

28.

What is the vertex of the quadratic equation y=x²+2

(2,0)

(-2,0)

(0,2)

(0,-2)

29.

What is the axis of symmetry for the equation y=-x²+4x+3

x=2

y=2

x=-2

y=-2

30.

What is the vertex of the quadratic equation y=-x²+4x+3?

(0,3)

(2,7)

(-2,7)

(3,0)

31.

What is the graph of the quadratic equation... y=x²+4x-2?

32.

Use the graph to find the correct equations

y=x²-4x+10

y=x²-4x+2

y=-4x²+x+2

y=2x²-2x+2

33.

What is the lowest point on a quadratic graph called?

Maximum

Medium

Minimum

Lowest coordinate

34.

What is the highest point on a quadratic graph is called the...

Maximum

Medium

Minimum

Highest coordinate

35.

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

V(-8, 7)

V(-8, 3)

V(8, 10)

V(16, -2)

36.

Find the y-intercept y = x² - 6x + 5

(0, 8)

(0, - 6)

(5, 0)

(0, 5)

37.

Find the y-intercept of f(x) = 2x²- 2x + 1

(1,0)

(-2,0)

(0,1)

(0, -1)

38.

Does the equation open up or down?
Y = -3x² +7x - 2

down

Neither; it opens to the right.

Neither; it opens to the left.

39.

What is the name of this form:
y = ax² + bx + c

vertex form

standard form

factored form

zero form

40.

What is the maximum/minimum of a parabola called?

vertex

point

top

bottom

41.

What do we call the graph of a quadratic function?

parabola

linear

cubic

sinusoidal

42.

What is the vertex of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

43.

What is the y-intercept of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

44.

Where is the axis of symmetry for this parabola?

x = −1

x = 0

y = 3

x = −3

45.

What is the formula above primarily used for?

Finding the axis of symmetry from standard form

Finding the vertex from standard form

Finding the vertex from vertex form

Finding the vertex from standard form

46.

What are the zeros of the parabola?

1, 5

3, -5

3, 0

-6, 1

47.

How do you know if a parabola has a minimum?

When ‘a’ is positive there is a minimum

When ‘a’ is negative there is a minimum

When all the numbers in the equation are negative there is a minimum

When all the numbers in the equation are positive there is a minimum

48.

What is the equation for axis of symmetry?

y = 3

x = 3

x = 5

x = 1

49.

What are the green dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

50.

How can you tell whether a parabola opens up or opens down by looking at the equation?

The vertex tells you the direction of the opening

The value of "a" tells you the direction of the opening.

All parabolas open upward

All parabolas open downward

51.

Does the equation open up or down?
Y = -3x² +7x - 2

down

Neither; it opens to the right.

Neither; it opens to the left.

52.

What is the name of this form:
y = ax² + bx + c

vertex form

standard form

factored form

zero form

53.

What is the maximum/minimum of a parabola called?

vertex

point

top

bottom

54.

What do we call the graph of a quadratic function?

parabola

linear

cubic

sinusoidal

55.

What is the vertex of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

56.

What is the y-intercept of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

57.

Where is the axis of symmetry for this parabola?

x = −1

x = 0

y = 3

x = −3

58.

What is the formula above primarily used for?

Finding the axis of symmetry from standard form

Finding the vertex from standard form

Finding the vertex from vertex form

Finding the vertex from standard form

59.

What are the zeros of the parabola?

1, 5

3, -5

3, 0

-6, 1

60.

How do you know if a parabola has a minimum?

When ‘a’ is positive there is a minimum

When ‘a’ is negative there is a minimum

When all the numbers in the equation are negative there is a minimum

When all the numbers in the equation are positive there is a minimum

61.

What is the equation for axis of symmetry?

y = 3

x = 3

x = 5

x = 1

62.

What are the green dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

63.

How can you tell whether a parabola opens up or opens down by looking at the equation?

The vertex tells you the direction of the opening

The value of "a" tells you the direction of the opening.

All parabolas open upward

All parabolas open downward

64.

65.

66.

67.

What are the x-intercepts of the following quadratic function?

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

x=-6 and x=-2

x=6 and x=-2

x=6 and x=2

x=-6 and x=2

68.

Which is the correct graph of the function:

69.

What is the parent function of a quadratic equation?

f(x)=x

f(x)=x²

f(x)=ax²+bx+c

f(x)=a(x-h)²+k

70.

Determine the solutions of the graph:

No Solutions

(-3, 0) and (-1, 0)

Infinity Many Solutions

(-1, 0)

Reset

Algebra

Total questions: 70

Worksheet time: 3hrs 26mins

Similar Resources on Wayground