Free Printable Key Features Practice

1.

Does the graph have a maximum or minimum?

a)

maximum

b)

minimum

c)

neither

d)

both

2.

Does the graph have a maximum or minimum?

a)

max

b)

min

c)

neither

d)

both

3.

Use the graph to determine the X-intercepts

a)

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

b)

(1,0) and (3,0)

c)

(0,1) and (0,3)

d)

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

4.

What are the x-intercepts?

a)

(0,0) and (2,0)

b)

(-4,0) and (0,0)

c)

(0,0) and (0,4)

d)

(0,0) and (4,0)

5.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

6.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=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.

Name the vertex to the given quadratic graph

a)

(2,3)

b)

(3,2)

c)

(0,-1)

d)

(4,-1)

9.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

10.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

11.

Define Vertex

a)

Where the parabola touches or intersects the x-axis

b)

The highest or lowest point on the graph

c)

Where parabola line touches or intersects the x- axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

12.

Define Axis Of Symmetry

a)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

b)

Where the parabola touches or intersects the x-axis, also called the x-intercept

c)

The highest y-value on the graph

d)

The highest or lowest point on the graph

13.

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)

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

14.

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

15.

The set of all x values used in a function's graph is called what?

a)

Increasing interval

b)

Decreasing interval

c)

Domain

d)

Range

16.

The set of all y values used in a function's graph is called what?

a)

Increasing interval

b)

Decreasing interval

c)

Domain

d)

Range

17.

What is the range of this function?

a)

(- ∞, ∞)

b)

[0, ∞)

c)

[-2, ∞)

d)

[2, ∞)

18.

What is the increasing interval on the function shown?

a)

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

b)

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

c)

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

d)

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

19.

What is the decreasing interval on the function shown?

a)

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

b)

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

c)

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

d)

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

20.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

21.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

22.

Determine the domain and range of the function

a)

Domain: All real numbers $\left(-\infty,\infty\right)$ ,

Range: All real numbers $\left(-\infty,\infty\right)$

b)

Domain: $\left[4,\infty\right)$

Range: All real numbers $\left(-\infty,\infty\right)$

c)

Domain: All real numbers $\left(-\infty,\infty\right)$

Range: $\left[-4,\infty\right)$

d)

Domain: -1 ≤ x ≤ 5,

Range: y ≥ -4

23.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

24.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

25.

What is the axis of symmetry of y=2x²-4x+9?

a)

x = 1

b)

x = -1

c)

x = -2

d)

x = 4

26.

Use the picture to find the vertex and axis of symmetry

a)

Vertex (3,8) Axis x=3

b)

Vertex (3,8) Axis y=3

c)

Vertex (8,3) Axis x=3

d)

Vertex (8,3) Axis y=3

27.

What's the y-intercept of y = 3x²- 6x + 4

a)

(4,0)

b)

(-4,0)

c)

(0,-4)

d)

(0,4)

28.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

29.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

$\left[0,\infty\right)$

d)

$\left(-\infty,0\right]$

30.

What is the domain and the range for the graph?

a)

Domain : (-2,2)
Range : (0,4)

b)

Domain : $\left(-\infty,\infty\right)$
Range : [-2,2]

c)

Domain : $\left(-\infty,\infty\right)$
Range : $\left(-\infty,4\right]$

d)

Domain : $\left(-\infty,\infty\right)$
Range : $\left[4,\infty\right)$

Key Features Practice

Total questions: 30

Worksheet time: 44mins

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