Free Printable Parts of a Parabola

1.

Name the vertex

a)

(1,1)

b)

(0,0)

2.

Name the Vertex

a)

(3, -4)

b)

(-3, -4)

3.

Name the Axis of Symmetry

a)

x = 1

b)

x = 0

4.

x-intercepts

a)

-4 and 0

b)

-1 and -2

5.

y-intercept

a)

1

b)

-1/2

6.

Maximum or Minimum

a)

Maximum

b)

Minimum

7.

What are the x-intercepts for y = x² + 4x + 3

a)

-1 and -3

b)

1 and 4

8.

What is the minimum value of the quadratic function

f(x) = x² - 2x + 7

a)

6

b)

7

9.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

10.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

11.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

12.

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

a)

2

b)

-2

c)

1

d)

-1

13.

What is the name given to the dotted line?

a)

A) y-intercept

b)

B) axis of symmetry

c)

C) vertex

d)

D) root

14.

What is the name given to the point

(0 , 7)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

15.

What is the name given to the point

(1 , 0)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

16.

What is the name given to the point

(8 , 7)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

17.

What is the name given to the point

(4 , -9)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

18.

Does the graph represent a min/max/both/neither?

a)

A) Minimum

b)

B) Maximum

c)

C) Both

d)

D) Neither

19.

What is the minimum of the function?

a)

A -9

b)

B) 0

c)

C) 4

d)

D) 8

20.

What is the axis of symmetry?

a)

A y = 4

b)

B) x = 0

c)

C) x = 4

d)

D) y= 7

21.

How many roots does the function have?

a)

A 0

b)

B) 1

c)

C) 2

d)

D) ∞

22.

Which functions represent the graph? (select all that apply)

a)

A f(x) = (x + 4)² - 9

b)

B) f(x) = (x - 4)² - 9

c)

C) f(x) = x² - 8x + 7

d)

D) f(x) = x² - 8x - 9

23.

What is the domain of the function?

a)

A 4 ≤ x < ∞

b)

B) - ∞ < x < ∞

c)

C) - 9 ≤ x < ∞

d)

D) 7 ≤ x < ∞

24.

What is the range of the function?

a)

A 4 ≤ y < ∞

b)

B) - ∞ < y < ∞

c)

C) - 9 ≤ y < ∞

d)

D) 7 ≤ y < ∞

25.

The vertical line that cuts a parabola in half is called...

a)

Axis of symmetry

b)

Axis of evil

c)

Vertex

d)

Evil vortex

26.

The maximum of a quadratic function is always the same point as the...

a)

Minimum

b)

Vertex

c)

Humpty doo

d)

Y-intercept

27.

Which expression is equivalent to x²+4x+3?

a)

(x+4) (x+1)

b)

(x+3)(x+4)

c)

(x+3)(x+1)

d)

(x-3)(x-1)

28.

Which of the following is NOT a synonym for x-intercept?

a)

Zero

b)

Maximum

c)

Root

d)

Solution

29.

Which is equivalent to (x-5)(x+6)?

a)

x²+ x -30

b)

x² -x +30

c)

x²-5x+6

d)

x²-11x -30

30.

What kind of function creates a parabola?

a)

Linear

b)

Cubic

c)

Absolute Value

d)

Quadratic

31.

A squirrel jumps. The point where it lands is ...

a)

Does not exist

b)

A y-intercept

c)

A stem

d)

A root

32.

The point where x=0 is the...

a)

Y-intercept

b)

X-intercept

c)

Parabola

d)

Solution

33.

What are the coordinates of the vertex?

a)

(4,0)

b)

(0,0)

c)

(2,4)

d)

(0,-1)

34.

Which of the following is a solution to -x²-2x+8=0?

a)

(-1,9)

b)

(0,8)

c)

No solutions

d)

(-4,0)

35.

What is vertex of the quadratic function x²+4x-21?

a)

(4, -21)

b)

(-2,-25)

c)

(2, -21)

d)

(4, -25)

36.

Find the Vertex:
y = x² + 6x + 2

a)

(-3,-7)

b)

(1,6)

c)

(6,2)

d)

No Real Solution

37.

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

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

38.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

39.

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

a)

Maximum

b)

Minimum

40.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

41.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

42.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

43.

The U-shaped graph of a quadratic equation is called a ________.

a)

curve

b)

parabola

c)

linear equation

d)

vertex

44.

Find the vertex of the following quadratic equation:

y = 3x²

a)

(0, 3)

b)

(-3, 0)

c)

(o, -3)

d)

(0, 0)

45.

Find the vertex of the following quadratic equation:

y = -x² +2x + 1

a)

(1, 2)

b)

(-1, -2)

c)

(-1, 3)

d)

(0, 0)

46.

Find the vertex of the following quadratic equation:

y = 2x² -16x + 33

a)

(-4, 129)

b)

(4, 1)

c)

(0, 0)

d)

(2,9)

47.

Put the x-value of 3 into the equation to find the y-value:

y=2x^2-x

a)

9

b)

15

c)

21

d)

33

48.

If the x-value is 6, what is the y-value given:

y=-x^2+3x+5

a)

y = -13

b)

y = 11

c)

y = 35

d)

y = 59

49.

Use the equation x = -b/2a to get the x-value of the vertex in the equation:

y=2x^2-4x+10

a)

2

b)

-2

c)

1

d)

-1

50.

Knowing the axis of symmetry is x=4, what is the vertex in the equation

y=-2x^2+16x-12

?

a)

(4, -12)

b)

(4, 20)

c)

(4, 84)

d)

(4, 116)

51.

Find the Vertex:

y = x² + 6x + 2

a)

(-3, -7)

b)

(1, 6)

c)

(6, 2)

d)

(3, 29)

52.

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

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

53.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(5, 4)

d)

(15, -4)

54.

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

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

55.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

56.

What is the "formula" for finding the axis of symmetry?

a)

$y=ax^2+bx+c$

b)

$x=\frac{-b}{2a}$

c)

$y=mx+b$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

57.

Find the axis of symmetry for $y=x^2-8x+15$

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

58.

Find the vertex for $y=x^2-8x+15$

a)

(-4, 63)

b)

(-4, 31)

c)

(4, -1)

d)

(4, -31)

59.

Find the axis of symmetry of
$y=3x^2-6x+4$

a)

$x=1$

b)

$x=-6$

c)

$x=2$

d)

$x=-1$

60.

Find the vertex of $y=3x^2-6x+4$

a)

$\left(1,\ 1\right)$

b)

$\left(1,\ 7\right)$

c)

$\left(2,\ 4\right)$

d)

$\left(-2,\ 28\right)$

61.

Find the vertex of $y=-2x^2-16x+3$

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

62.

Find the axis of symmetry of $y=-2x^2-16x+3$

a)

$x=4$

b)

$x=8$

c)

$x=-4$

d)

$x=-8$

Parts of a Parabola

Total questions: 62

Worksheet time: 3hrs 19mins

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