Free Printable Non-Linear Graphs (10 5.3)

1.

Identify the vertex

a)

(-1,-9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

2.

The axis of symmetry is a line that goes through the...

a)

y-intercept

b)

any random point

c)

vertex

d)

x-axis or y-axis

3.

Which best describes the vertex of a parabola?

a)

Any point on the parabola.

b)

A point on the x-axis.

c)

The highest or lowest point of a parabola

d)

A point on the y-axis.

4.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

5.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

6.

How many roots does this parabola have?

a)

3

b)

2

c)

0

d)

1

7.

The vertex of this parabola is...

a)

(-4, -12.5)

b)

(12.5, 4)

c)

(-12.5, -4)

d)

(4, 12.5)

8.

Which equation models the graph?

a)

y = (x - 3) ²

b)

y = (x + 3) ²

c)

y = x² - 3

d)

y = x ²+ 3

9.

Which equation models the graph?

a)

y = (x - 4) ²

b)

y = (x + 4) ²

c)

y = x² - 4

d)

y = x ²+ 4

10.

Which equation models the graph?

a)

y = (x - 2) ² - 1

b)

y = (x - 2) ² +1

c)

y = (x + 2) ² +1

d)

y = (x + 2) ² - 1

11.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

12.

Is the Equation Linear or Exponential?

a)

Linear

b)

Exponential

13.

Which equation best describes the graph?

a)

y = 2^x + 4

b)

y = 2^x - 3

c)

y = 2^x - 4

d)

y = 2^x + 3

14.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

15.

Is the following linear or non linear?

a)

Linear

b)

Non linear

16.

Is the following linear or non linear?

a)

Linear

b)

Non linear

17.

Is the following linear or non linear?

a)

Linear

b)

Non linear

18.

My equation could be.....

a)

$y=-x^2+1$

b)

$y=x^2+1$

c)

$y=-x^2-1$

d)

$y=x^2-1$

19.

My equation could be.....

a)

$y=2^x$

b)

$y=x^2+1$

c)

$y=3^x$

d)

$y=4^x$

20.

My equation could be.....

a)

$y=2^x$

b)

$y=x^2+5$

c)

$y=5^x$

d)

$y=x^5$

21.

My equation could be.....

a)

$x^2+y^2=1$

b)

$y=x^2+1$

c)

$x^2+y^2=2$

d)

$x^2+y^2=4$

22.

My equation could be.....

a)

$x^2+y^2=2$

b)

$y=x^2+4$

c)

$x^2+y^2=4$

d)

$x^2+y^2=16$

23.

My equation could be.....

a)

$x^2+y^2=1$

b)

$y=x^2+2$

c)

$x^2+y^2=2$

d)

$x^2+y^2=4$

24.

Which graph has function y=-x³ ?

a)

red

b)

green

c)

blue

25.

If the red graph represents y=-x³, what does the green graph represent?

a)

y=(x-2)²+1

b)

y=(x+2)³-1

c)

y=(x+2)³+1

26.

If the red graph represents y=-x³, what does the green graph represent?

a)

y=x³+3

b)

y=(x-3)³-1

c)

y=x³-3

27.

What is the function of this graph?

a)

y=x

b)

y=x²

c)

y=x³

28.

What is the function of this graph?

a)

y=2^x

b)

y=2^x-1

c)

y=2^x+1

29.

How many solutions represented by the graphs?

a)

1

b)

2

c)

3

30.

How many solutions represented by the graphs?

a)

1

b)

2

c)

3

31.

$\left(x+1\right)^2+\left(y-2\right)^2=9$

Select the radius for the graph of the equation shown

a)

$\left(1,-2\right),\ r=9$

b)

$\left(1,-2\right),\ r=3$

c)

$\left(-1,\ 2\right),\ r=9$

d)

$\left(-1,\ 2\right),\ r=3$

e)

$\left(1,-2\right),\ r=81$

32.

$y=-x^{2\ }+4$

For the graph of the equation shown, what is the correct turning point of the parabola

a)

a maximum at (0, -4)

b)

a minimum at (4, 0)

c)

a maximum at (-4, 0)

d)

a minimum at (0, -4)

e)

a maximum at (0, 4)

33.

Pick the equation of the circle with radius 5

a)

$y^2=25+x^2$

b)

$y^2=x^2-25$

c)

$y^2=25-x^2$

d)

$y=25-x^2$

34.

Graphs G and J are both examples of

a)

hyperbolas

b)

cubics

c)

parabolas

d)

exponential

35.

Pick the best equation

a)

$y=ax^2$

b)

$y=a^x$

c)

$y=\frac{k}{x}$

d)

$y=mx+c$

36.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x² + (y-8)² = 16

b)

(x-8)² + y² = 4

c)

x² + (y-8)² = 4

d)

x² + (y+8)² = 16

37.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

38.

What is the equation of the circle above?

a)

(x-4)²+(y-3)²=4

b)

(x-4)²+(y-3)²=2

c)

(x+4)²+(y+3)²=4

d)

(x+4)²+(y+3)²=2

39.

Which of the followings is true?

a)

y-intercept =-1

b)

y-intercept = 1

c)

y-intercept = -3

d)

y-intercept =3

40.

Which of the followings is true?

a)

x-intercept =-1

b)

x-intercept = 1

c)

x-intercept = -3

d)

x-intercept =3

41.

Which of the followings is true?

a)

asymptote: y=0, x=1

b)

asymptote: y=0 x=-1

c)

asymptote: x=0, y=-1

d)

asymptote: x=-1, y=-1

42.

What is the parent function of a hyperbola?

a)

y = 1 / x

b)

y = 2x

c)

y = 1/ 2x

d)

y= x / 1

43.

what is the graph of y = 1 / x

a)

b)

c)

d)

44.

How many asymptotes are there in this graph ?

a)

1

b)

2

c)

3

d)

No asymptotes

45.

The vertical asymptote of the graph is ....

a)

x = 0

b)

x=1

c)

y= 0

d)

y = -1

46.

The horizontal asymptote of the graph is ....

a)

y = 0

b)

y = mx + b

c)

x = 0

d)

x = 1

47.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

48.

f(x) = x-5 find f(0)

a)

4

b)

-5

c)

5

d)

-4

49.

a)

16

b)

48

c)

-28

d)

4

50.

b(x) = 2x - 3
b(-1) = ______

a)

-1

b)

5

c)

1

d)

-5

Non-Linear Graphs (10 5.3)

Total questions: 50

Worksheet time: 3hrs 38mins

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