Free Printable Alg 1 Partner Quiz

1.

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

2.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

a)

horizontal shift left 7 units

b)

horizontal shift right 7 units

c)

vertical shift up 7 units

d)

vertical shift down 7 units

3.

If the blue is f(x)=x^2,then the red must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

4.

Compare the function y = 0.3x² to the parent function y = x²

a)

Wider

b)

Narrower

5.

Compare the function y = 5x² to the parent function y = x²

a)

Wider

b)

Narrower

6.

Match the equation to its description.

a)

Reflected over x and stretched by 3

b)

Stretched by 3

c)

Reflected over x

d)

Reflected over x and up 3

7.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

8.

Match the equation to its description.

a)

Reflected over x, right 2 and up 1

b)

Reflected over x, left 2 and up 1

c)

Reflected over x, right 2 and down 1

d)

Reflected over x, left 2 and down 1

9.

If red represents y = x², which equation represents black?

a)

y = 7x²

b)

y = -7x²

c)

y = -(1/7)x²

d)

y = -5x²

10.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

11.

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

12.

Which list orders the quadratic functions from narrowest to widest?

a)

y = x²
y = 4x²
y = 2x² - 2
y = 0.5 x²

b)

y = 0.5 x²
y = x²
y = 2x²- 2
y = 4x²

c)

y = 4x²
y = 2x²- 2
y = x²
y = 0.5 x²

d)

y = 2x² - 2
y = 4x²
y = 0.5x²
y = x²

13.

Identify the transformations.

a)

horizontal shift to the left 2 and vertical stretch by a factor of 3

b)

horizontal shift to the right 2 and vertical stretch by a factor of 3

c)

horizontal shift to the right 2 and vertical shrink by a factor of 3

d)

horizontal shift to the left 2 and vertical shrink by a factor of 3

14.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

15.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

16.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

17.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

18.

Describe the transformation below: $-3\left(x+4\right)^2-1$

a)

stretch by 3, right: 4, down: 1

b)

reflect over the x-axis, right: 4, down: 1

c)

reflect over the x-axis, stretch by 3, left: 4, down: 1

d)

stretch by 4, down: 3, left: 1

19.

Determine the vertex from the following equation: $-\left(x+1\right)^2-1$

a)

Vertex: (1,-1)

b)

Vertex: (-1, 1)

c)

Vertex: (-1, -1)

d)

Vertex: (1, 1)

20.

Determine the vertex from the following equation: $\frac{1}{2}\left(x+4\right)^2+1$

a)

Vertex: (-4, 1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, 1)

d)

Vertex: (4, -1)

21.

$f\left(x\right)=-\left(x-4\right)^2+1$ Choose the correct graph of the equation.

a)

b)

c)

d)

22.

What is the vertex of this graph?

a)

$\left(2,\ -1\right)$

b)

$\left(-1,\ 2\right)$

c)

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

d)

$x=2$

23.

What is the y-intercept of this graph?

a)

$\left(0,\ 3\right)$

b)

$\left(2,\ -1\right)$

c)

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

d)

$y=-1$

24.

What is the name of the graph formed by $f\left(x\right)=x^2$ ?

a)

parabola

b)

hyperbola

c)

ellipse

d)

ebola

25.

What do you call the highest or lowest point in a parabola?

a)

intercepts

b)

range

c)

slope

d)

vertex

26.

Which graph represents a quadratic relation?

a)

b)

c)

d)

27.

Which of the following equations is NOT a quadratic function?

a)

$h(x)=2x^3+9x^2-8x$

b)

$g(x)=(x+4)(x-6)$

c)

$m(x)=\frac{1}{2}x^2-3x+5$

d)

$f(x)=0.5x^2+7.2x$

28.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

29.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

30.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

31.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

32.

Find the axis of symmetry for the graph

a)

x = -1

b)

x = 1

c)

x = 3

d)

x = -1 , 3

33.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

34.

Use the graph to determine the solutions.

a)

(0, 1) and (0, 3)

b)

(1, 0) and (3, 0)

c)

(0, -3) and (2, 1)

d)

(-3, 0) and (1, 2)

35.

Use the graph to determine the y-intercept.

a)

(1, 0)

b)

(3, 0)

c)

(0, -3)

d)

(2, 1)

36.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

zeros

37.

What is the minimum point of the graph?

a)

(−1,−4)

b)

(1,−4)

c)

(−1,4)

d)

(−4,1)

38.

Determine this function's RANGE

a)

$y\ge-4$

b)

All Real Numbers

c)

$x\ge-3$

d)

$x\ge-4$

39.

Determine this function's DOMAIN

a)

$y\ge-4$

b)

All Real Numbers

c)

$x\ge-3$

d)

$x\ge-4$

40.

What is the range of the function?

a)

All real numbers

b)

y ≥ 4

c)

y ≤ 4

d)

y ≤ 1

41.

What is the domain of the function?

a)

All real numbers

b)

y ≥ 0

c)

To infinity and beyond

d)

x ≥ 0

42.

In a quadratic function, when a<0, the parabola opens:

a)

upward

b)

left

c)

downward

d)

right

43.

In a quadratic function, when a>0, the parabola opens:

a)

upward

b)

left

c)

downward

d)

right

44.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

45.

Which function has an axis of symmetry of x = 0?

a)

b)

c)

d)

None of the above

46.

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

47.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

48.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

Fred X

49.

What is the vertex form of a quadratic function?

a)

f(x) = 2a(x-h)² + k

b)

f(x) = a(x-h)² + k

c)

f(x) = (x+h)² + k

d)

f(x) = a(x-h) - k

50.

Identify the vertex of f(x) = -2(x+1)² + 3

a)

(h,k)

b)

(3, 1)

c)

(-1,-3)

d)

(-1,3)

Alg 1 Partner Quiz

Total questions: 50

Worksheet time: 3hrs 36mins

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