Free Printable Piecewise, Vertex, Intercept, & Standard Form Quadratics

1.

What is the vertex for
f(x)=4(x-9)² + 3

a)

(-4, 3)

b)

(-9,3)

c)

(4,3)

d)

(9,3)

2.

Does the parabola
f(x)= 99999(x-2)² + 3
open up or down?

a)

up

b)

down

3.

Does the parabola
f(x)= -9x² + 3x - 44
open up or down?

a)

up

b)

down

4.

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

a)

Backpocket?

b)

y= 2

c)

x = -2

d)

x = 2

5.

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

a)

(8,0) and (2,0)

b)

(8, 2) and (-2,0)

c)

(-8,0) and (- 2,0)

d)

(-8, -2) and (-8,0)

6.

What is the y-intercept for g(x) = (x + 8)(x + 2)

a)

10

b)

12

c)

20

d)

16

7.

What are the x-intercepts for g(x) = 11(x - 5)(x + 3)

a)

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

b)

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

c)

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

d)

(5, 0) and (3,0)

8.

Find the vertex. $f\left(x\right)=-3x^2+9x-7$ **back pocket equation

a)

(9, -7)

b)

(-3, -9)

c)

(-9/6 , -27.25)

d)

(1.5, -0.25)

9.

Find the y-intercept. $y=11x^2-x+12345$

a)

(11, 0)

b)

(0, -1)

c)

(0, 1234)

d)

(0, 12345)

10.

Find the AOS. $y=11x^2+121x-1$

a)

x= 11/2

b)

x= -7

c)

x= -4.5

d)

x= -5.5

11.

Which equation would you use to find

f\left(29\right)

a)

Top

b)

Middle

c)

Bottom

12.

Which equation would you use to find

f\left(-5\right)

a)

Top

b)

Middle

c)

Bottom

13.

Which equation would you use to find

f\left(0\right)

a)

Top

b)

Middle

c)

Bottom

14.

Please find

f\left(8\right)

a)

5

b)

-6

c)

10

d)

undefined

15.

Please find

f\left(0\right)

a)

5

b)

-6

c)

10

d)

undefined

16.

Please find

f\left(-6\right)

a)

5

b)

22

c)

-9

d)

undefined

17.

Please find

f\left(0\right)

a)

4

b)

5

c)

-4

d)

-5

18.

Please find

f\left(-5\right)

a)

0

b)

10

c)

-4

19.

Find the vertex

a)

(2, -2)

b)

x = 2

c)

(-2, 2)

d)

(0, 4)

20.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

21.

What divides the parabola into 2 perfect halves?

a)

Axis of Symmetry

b)

Vertex

c)

Axis of Doom

d)

x - intercept

22.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

23.

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

a)

parabola

b)

vertex

c)

graph

d)

point

24.

The lowest point of a graph is called the......

a)

maximum

b)

vertex

c)

zero

d)

minimum

25.

The highest point of a graph is called the.....

a)

vertex

b)

zero

c)

maximum

d)

minimum

26.

What form is the quadratic equation written?

a)

quadratic form

b)

vertical form

c)

slope intercept form

d)

standard form

27.

The point at which the graph intersects the y-axis is the.....

a)

y-axis

b)

y-intercept

c)

x-intercept

d)

x-axis

28.

The point at which the graph intersects the x-axis is the.....

a)

y-coordinate

b)

x-intercept

c)

y-intercept

d)

x-coordinate

29.

What is the formula to find the axis of symmetry?

a)

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

b)

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

c)

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

d)

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

30.

What is the axis of symmetry of the quadratic below:

y=3x^2-6x+8

Leave NO spaces in your answer.

(a)

31.

What is the vertex of the function

y\ =\ -4\left(x\ +7\right)^2\ -\ 8

?

(a)

32.

What is the vertex of the quadratic below:

y=3x^2-6x+8

Leave NO spaces in your answer and include parentheses.

(a)

33.

If given the equation y = 3(x - 2)² - 4, what is the y-intercept?

a)

(8, 0)

b)

(0, 8)

c)

(0, -4)

d)

(0, 16)

34.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

35.

The graph of the function

y\ =\ \frac{4}{5}\left(x\ -\ 10\right)^2

will open in which direction?

a)

open up

b)

open down

36.

What are the root(s) for g(x) = (x -10)(x + 1)

a)

(10,0) and (-1, 0)

b)

(-10, 1)

c)

(-10,0) and (-1,0)

d)

(0,10) and (0,-1)

37.

Which equation is the vertex form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = a(x - m)(x - n)

c)

f(x) = ax² + bx + c

d)

f(x) = a(x - h)² + k

38.

Which equation is the intercept form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = a(x - p)(x -q)

c)

f(x) = ax² + bx + c

d)

f(x) = a(x - h)² + k

39.

What is the axis of symmetry for the quadratic

y=2\left(x-3\right)\left(x-2\right)

a)

x=5

b)

x=5/2

c)

x=-5

d)

x=-5/2

40.

What is one key feature you can see by looking at this equation?

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

a)

zeros are (4, 0) and (-2, 0)

b)

y-intercept is (0, 2)

c)

vertex is (-4, 2)

41.

What is one key feature you can see by looking at this equation?

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

a)

zeros are (-4, 0) and (-2, 0)

b)

y-intercept is (0, -2)

c)

vertex is (4, -2)

d)

vertex is (-4, -2)

42.

What is one key feature you can see by looking at this equation?

y=x^2-2x-8

a)

zeros are (-2, 0) and (-8, 0)

b)

vertex is (-2, -8)

c)

y-intercept is (-8, 0)

d)

y-intercept is (0, -8)

43.

Write an equation of this graph in intercept (factored) form.

a)

h(x) = (x - 1)(x + 3)

b)

h(x) = (x + 1)(x - 3)

44.

Is (2, 3) part of the solution set?
y < 2x²-3x+1

a)

Yes

b)

No

45.

Which inequality is represented by the graph?

a)

y > (x - 3)² - 3

b)

y ≥ (x + 3)² - 3

c)

y > (x + 3)² - 3

d)

y ≥ (x - 3)² - 3

46.

a)

y ≥ -(x + 4)² + 1

b)

y < -(x - 4)² + 1

c)

y ≤ (x - 4)² + 1

d)

y ≤ -(x - 4)² + 1

47.

Which inequality is represented by the graph?

a)

y > -(x - 4)² + 1

b)

y > -(x - 1)² + 4

c)

y < (x - 4)² + 1

d)

y > (x + 4)² + 1

48.

a)

y ≤ (x - 3)² + 3

b)

y < (x + 3)² - 3

c)

y < (x - 3)² - 3

d)

y ≤ (x + 3)² - 3

49.

Solutions are in the ___________ area.

a)

non-shaded

b)

shaded

c)

vertex

d)

axis of symmetry

50.

Which correctly shows the inequality $y<\left(x+4\right)^2+1$ ?

a)

b)

c)

d)

51.

Which correctly shows the inequality $y<x^2-6x+13$ ?

a)

b)

c)

d)

52.

Which of the following functions has a y-intercept of (0, 2)?

a)

$y=x^2+2x-1$

b)

$y=2x+5$

c)

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

d)

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

53.

True or False: A quadratic graph can have no x-intercepts.

a)

True

b)

False

54.

If a quadratic has a vertex at (-3, 2), which equation could be the axis of symmetry?

a)

$x=-3$

b)

$x=2$

c)

$x=-1$

d)

$x=1$

55.

$y=x^2-1$

You need to find the vertex of the graph of the function above. You use the vertex formula -b/2a. What value is "b" in that formula?

a)

0

b)

-1

c)

1

d)

2

56.

$f\left(x\right)=4x^2-8x+7$

What is the vertex of the graph of the function shown above?

a)

(1, 3)

b)

(1, 11)

c)

(-1, 11)

d)

(-1, 19)

57.

Which equation has a vertex of (-3, 4) and a y-intercept of (0, -5)?

a)

$f\left(x\right)=-\left(x+3\right)^2+4$

b)

$f\left(x\right)=\left(x+3\right)^2+4$

c)

$f\left(x\right)=-\left(x-3\right)^2+4$

d)

$f\left(x\right)=\left(x-3\right)^2+4$

58.

State the vertex of the following parabola:

y = 4(x +1)(x - 5)

a)

(2,-36)

b)

(-2, 28)

c)

(2, 20)

d)

(-2, -18)

59.

Find the Axis of Symmetry of the following Quadratic Function:

$y=\frac{1}{2}\left(x+9\right)^2-8$

a)

$x=9$

b)

$x=-9$

c)

$x=-2$

d)

$x=-1$

e)

$x=-8$

60.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

61.

Which equation is Vertex Form?

a)

y=ax²+bx+c

b)

y=a(x-h)²+k

62.

Which equation is in standard form?

a)

y=a(x-h)²+k

b)

y=ax²+bx+c

63.

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

a)

Maximum

b)

Minimum

64.

What is the vertex of this quadratic equation?

y = 2(x + 2)² + 5

a)

(-2,5)

b)

(2,5)

c)

(5,-2)

d)

(-5,-2)

65.

a)

y=(x-4)²+1

b)

y=(x-4)²-1

c)

y=(x+4)²+1

d)

y=(x+4)²-1

66.

Which equation matches the graph?

a)

y=(x-2)²+3

b)

y=(x-2)²-3

c)

y=(x+2)²+3

d)

y=(x+2)²-3

67.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

68.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

69.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

70.

What is the vertex?
f(x) = 2(x - 5)² + 12

a)

(-5, -12)

b)

(5,-12)

c)

(5, 12)

d)

(-5, 12)

71.

Find the Vertex: y= -5x²-20x - 26

a)

(-2, -6)

b)

(2, 6)

c)

(6,2)

d)

(3, 6)

72.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

73.

What is the vertex?
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

74.

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)

75.

What is the range of the function graphed above?

a)

y ≥ -2

b)

y ≤ 4

c)

y ≥ 4

d)

y ≤ -2

76.

What is the range of the parabola above?

a)

y ≤ 2

b)

y ≥ 2

c)

y ≤ 3

d)

y ≥ 3

Piecewise, Vertex, Intercept, & Standard Form Quadratics

Total questions: 76

Worksheet time: 12hrs 43mins

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