Quiz about Key Features of Quadratic Functions

Question 1

Define X-intercept

Accepted Answer

Where the parabola touches or intersects the x-axis

Answer

The highest or lowest point on the graph

Answer

Where the parabola touches or intersects the y-axis

Answer

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

Question 2

Define Y-intercept

Accepted Answer

Where the parabola touches or intersects the y-axis

Answer

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

Answer

The lowest y-value on the graph

Answer

The highest y-value on the graph

Question 3

Define Zero

Accepted Answer

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

Answer

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

Answer

The highest or lowest point on the graph

Answer

Where the parabola touches or intersects the y-axis

Question 4

Define Maximum

Accepted Answer

The highest y-value on the graph

Answer

The highest or lowest point on the graph

Answer

The lowest y-value on the graph

Answer

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

Question 5

Define Minimum

Accepted Answer

The lowest y-value on the graph

Answer

The highest y-value on the graph

Answer

Where the parabola touches or intersects the y-axis

Answer

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

Question 6

Define Vertex

Accepted Answer

The highest or lowest point on the graph

Answer

Where the parabola touches or intersects the x-axis

Answer

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

Answer

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

Question 7

Define Axis Of Symmetry

Accepted Answer

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

Answer

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

Answer

The highest y-value on the graph

Answer

The highest or lowest point on the graph

Question 8

Define Roots

Accepted Answer

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

Answer

Where the parabola touches or intersects the y-axis

Answer

The lowest y-value on the graph

Answer

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

Question 9

Define Solution

Accepted Answer

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

Answer

The highest y-value on the graph

Answer

Where the parabola touches or intersects the y-axis

Answer

The highest or lowest point on the graph

Question 10

Define Roots, Zeros, X-intercept, and Solutions

Accepted Answer

Where the parabola touches or interests the x-axis

Answer

Where the parabola touches or interests the y-axis

Question 11

What is the vertex of the graph?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 12

Is this a max or min?

Accepted Answer

max

Answer

min

Question 13

Find the increasing interval

Accepted Answer

x>2

Answer

x<2

Answer

x<0

Answer

x>-2

Question 14

Find the decreasing interval

Accepted Answer

x<2

Answer

x>-2

Answer

x<-2

Answer

x>2

Question 15

Find the increasing interval

Accepted Answer

x<-1

Answer

x>-1

Answer

x<4

Answer

x>-4

Question 16

Find the decreasing interval

Accepted Answer

x>-1

Answer

x<-1

Answer

x>4

Answer

x<4

Question 17

Identify the y-intercept

Accepted Answer

(0, -3)

Answer

(3, 0)

Answer

(0, 3)

Answer

(2, 1)

Question 18

Name the x-intercept(s)?

Accepted Answer

(0, 0) and (4, 0)

Answer

(0, 0)

Answer

(2, 4)

Answer

(0, 0) and (0, 4)

Question 19

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

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 20

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 21

Is this point a max or min?

Accepted Answer

max

Answer

min

Question 22

The graph of a quadratic function is shown.
What statement about this graph is not true?

Accepted Answer

The graph has the y-axis as a line of symmetry

Answer

The graph has a y-intercept at (0, 8)

Answer

The graph has a maximum point at (-1, 9)

Answer

The graph has an x-intercept at (2, 0)

Question 23

Which of the following are true about the quadratic function shown? (You can choose more than one answer)

Accepted Answer

the vertex is (-2, 0)

Accepted Answer

the axis of symmetry is at x = -2

Answer

There are two roots

Answer

the vertex is a maximum

Question 24

Which of the following quadratics has a range of all real numbers less than or equal to 4?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 25

Which function has a domain of all real numbers?

Accepted Answer

All of the above

Answer

A.

Answer

B.

Answer

C.

Question 26

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

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

None of the above

Question 27

Which function has an x-intercept and y-intercept at (0, 0)?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 28

About how long did it take the football to hit the ground (0 feet)?

Accepted Answer

About 2.6 Seconds

Answer

About 3 seconds

Answer

About 0 seconds

Answer

About 1.3 Seconds

Question 29

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. What is the maximum height?

Accepted Answer

145 feet

Answer

160 feet

Answer

130 feet

Answer

135 feet

Question 30

Which is an x-intercept of the table?

Accepted Answer

(3, 0)

Accepted Answer

(-2, 0)

Answer

(1, -6)

Answer

(0, -6)

Question 31

Which is a y-intercept of the table?

Accepted Answer

(0, -6)

Answer

(1, -6)

Answer

(-2, 0)

Answer

(3, 0)

Question 32

Which approximates the vertex?

Accepted Answer

(0.5, -7)

Answer

(1, -6)

Answer

(-2, 0)

Answer

(3, 0)

Question 33

A ball is tossed in the air from a height of 5 feet and the following data is recorded. What is the x-intercept?

Accepted Answer

(1.25, 0)

Answer

(0, 5)

Answer

(0.5, 9)

Answer

(1.0, 5)

Question 34

What is the vertex of the following equation?

f(x) = x² - 6x + 13

Accepted Answer

(3, 4)

Answer

(6, 3)

Answer

(0, 13)

Answer

(2, 8)

Question 35

What is the y-intercept of the following equation?

f(x) = 3x² + 2x - 5

Accepted Answer

(0, -5)

Answer

(3, 0)

Answer

(2, 1)

Answer

(0, 3)

Question 36

Does the following equation have a maximum or a minimum?

f(x) = -3x² +2x + 5?

Accepted Answer

Maximum

Answer

Minimum

Question 37

Does the following equation have a maximum or minimum?

f(x) = 4x² - 5x + 3

Accepted Answer

Minimum

Answer

Maximum

Question 38

What is the vertex of the following equation?

f(x) = 4x² - 8x - 6

Accepted Answer

(1, -10)

Answer

(1, 0)

Answer

(10, 0)

Answer

(-5, 2)

Question 39

Which one of the following best describes the point (0, -28) on the function below
f(x) = x² +3x - 28?

Accepted Answer

(0, - 28) is the y-intercept

Answer

(0, - 28) is the zero

Answer

(0, - 28) is the solution

Answer

(0, - 28) is the maximum vertex

Question 40

Which of the following statements about the following equations is FALSE?

f(x) = x² + 8x +7

Accepted Answer

The y-intercept is (0, -3)

Answer

The vertex is (-4, -9)

Answer

The axis of symmetry is x = -4

Answer

The roots are (-7, 0) and (-1, 0)

Question 41

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Vertex Form

Question 42

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 43

f(x) = x²-12x+35

What are the intervals of increasing and decreasing for this function?

Accepted Answer

Increasing: x > 6

Accepted Answer

Decreasing: x < 6

Answer

Decreasing: x > 6

Answer

Increasing: x < 6

Question 44

y = 3x² - 5x + 2

What are the end behaviors for this function?

Accepted Answer

As x gets bigger, y gets bigger.

Accepted Answer

As x gets smaller, y gets bigger.

Answer

As x gets bigger, y gets smaller.

Answer

As x gets smaller, y gets smaller.

Question 45

f(x) = -x²-4x-7

What are the intervals of increasing and decreasing for this function?

Accepted Answer

Decreasing: x > -2

Accepted Answer

Increasing: x < -2

Answer

Increasing: x > -2

Answer

Decreasing: x < -2

Question 46

What is the end behavior for
f(x)=2x²+x

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Key Features of Quadratic Functions

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