Free Printable Quad Key Features & Applications

Worksheets

Quad Key Features & Applications

Total questions: 38

Worksheet time: 1hrs 23mins

Name

Class

Date

What is the vertex of y=x²+4x+3?

(2,1)

(-2,1)

(0,0)

(-2,-1)

What is the y intercept for the equation:
y = -8x² + 3x - 7

(0, -8)

(0, 3)

(-8, -7)

(0, -7)

Find the axis of symmetry for
f(x) = x²- 8x + 15.

x = -4

x = 4

y = 4

y = -4

Which answer choice describes y = -3x² +7x - 2 accurately?

opens up with a maximum

opens up with a minimum

opens down with a maximum

opens down with a minimum

What is the vertex of the given quadratic function:

$f\left(x\right)\ =\ \left(x-2\right)^2+5$

(2, 5)

(-2, 5)

(2, -5)

(-2, -5)

Find the x-intercepts of the parabola. Check all that apply. $y=x^2+6x+5$

(-5,0)

(-1,0)

(3,0)

(-4,0)

(6,0)

Use the graph to determine the X-intercepts

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

(1,0) and (3,0)

(0,1) and (0,3)

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

What is the equation for axis of symmetry?

y=3

x=3

x=5

x=1

Name the vertex to the given quadratic graph

(2,3)

(3,2)

(0,-1)

(4,-1)

10.

Which parabola would open down?

f(x)=x²

f(x)=-x²+3x-6

f(x) = x²-16

f(x)=2x²-5x+7

11.

Identify the y-intercept

(0, -3)

(3, 0)

(0, 3)

(2, 1)

12.

Determine the vertex from the following equation: $-3\left(x-4\right)^2+1$

Vertex: (4,1)

Vertex: (-4, -1)

Vertex: (4, -1)

Vertex: (-4, 1)

13.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

it has minimum

it has a maximum

The y - intercept is (0, 0)

There is only one x-intercept

In the equation ax² + bx + c, the value of "a" would be negative x because the Parabola opens down.

14.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

it has a minimum

it has a maximum

the x - intercepts are (1, 0) and (3, 0)

The y - intercept is (0, 0)

The axis of symmetry is x = 2

15.

Which of the following equations matches standard form of a quadratic?

ax + by = c

y = a(x - h)² + k

y = ax² + bx + c

y = mx + b

16.

Define Axis Of Symmetry

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

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

The highest y-value on the graph

The highest or lowest point on the graph

17.

Define Vertex

Where the parabola touches or intersects the x-axis

The highest or lowest point on the graph

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

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

18.

Define Y-intercept

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

The lowest y-value on the graph

The highest y-value on the graph

Where the parabola touches or intersects the y-axis

19.

Define X-intercept

The highest or lowest point on the graph

Where the parabola touches or intersects the x-axis

Where the parabola touches or intersects the y-axis

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

20.

The vertex of the given quadratic function is at its minimum.

True

False

21.

What are the green dots called?

y-intercepts

maximum

minimum

roots/x-intercepts

22.

What is another name for the x-intercepts of a quadratic?

y-intercept

Zeros

x-axis

They don't have another name

23.

.How many zeros does this parabola have?

24.

Is this a max or min?

max

min

cannot be determined

25.

What is the vertex of this graph and is it a maximum or minimum?

(-2, 9) minimum

(-2, 9) maximum

(-5, 0) minimum

(0, 5) maximum

26.

What is the axis of symmetry for this graph?

x = -2

x = 9

y = -2

y = 9

27.

What are the zeros of the graph?

x = -5, 5

x = 1, 5

x = -5, 1

28.

The solutions to this graph are 1 and -2. Which one of these functions describes the graph?

$y=x^2-x-2$

$y=x^2+x-2$

$y=x^2-x+2$

$y=x^2+x+2$

29.

Which factors represents this graph?

(x - 2)(x + 1)

(x + 1)(x - 3)

(x + 2) (x - 1)

(x - 1)(x - 2)

30.

Zeros, x-intercepts, roots, and solutions are all used to describe where a graph intersects the x-axis.

True

False

Not sure

Maybe

31.

How many zeros does this graph have?

-4

32.

What graph best represents $y=-2x^2+2x-3$ ?

33.

A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256. How many seconds did it take the raft to hit the water?

-4

34.

What is the initial (starting) height of an object following this path? h(t) = -16t² +20t + 6

-16 feet

0 feet

20 feet

6 feet

35.

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

2.5 sec

3.5 sec

4.5 sec

3.8 sec

36.

Which one are we looking for?

Jaiden wanted to know the initial height of a baseball when it was hit at home plate.

x at vertex

y at vertex

positive zero

y-intercept

37.

Which one are we looking for?

Matias is wondering how long it will take a football to hit the ground after throwing it at practice.

x at vertex

y at vertex

positive zero

y-intercept

38.

Which one are we looking for?

A rubber ball was thrown into the air, then hit the ground causing it to bounce. How long did it take to hit the ground?

x at vertex

y at vertex

positive zero

y-intercept

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Quad Key Features & Applications

Total questions: 38

Worksheet time: 1hrs 23mins

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