Quiz about Quad Key Features & Applications

Question 1

What is the vertex of y=x²+4x+3?

Accepted Answer

(-2,-1)

Answer

(2,1)

Answer

(-2,1)

Answer

(0,0)

Question 2

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

Accepted Answer

(0, -7)

Answer

(0, -8)

Answer

(0, 3)

Answer

(-8, -7)

Question 3

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

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 4

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

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 5

What is the vertex of the given quadratic function:

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

Accepted Answer

(2, 5)

Answer

(-2, 5)

Answer

(2, -5)

Answer

(-2, -5)

Question 6

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

Accepted Answer

(-5,0)

Accepted Answer

(-1,0)

Answer

(3,0)

Answer

(-4,0)

Answer

(6,0)

Question 7

Use the graph to determine the X-intercepts

Accepted Answer

(1,0) and (3,0)

Answer

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

Answer

(0,1) and (0,3)

Answer

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

Question 8

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 9

Name the vertex to the given quadratic graph

Accepted Answer

(2,3)

Answer

(3,2)

Answer

(0,-1)

Answer

(4,-1)

Question 10

Which parabola would open down?

Accepted Answer

f(x)=-x²+3x-6

Answer

f(x)=x2

Answer

f(x) = x²-16

Answer

f(x)=2x²-5x+7

Question 11

Identify the y-intercept

Accepted Answer

(0, -3)

Answer

(3, 0)

Answer

(0, 3)

Answer

(2, 1)

Question 12

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

Accepted Answer

Vertex: (4,1)

Answer

Vertex: (-4, -1)

Answer

Vertex: (4, -1)

Answer

Vertex: (-4, 1)

Question 13

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

Accepted Answer

it has minimum

Accepted Answer

The y - intercept is (0, 0)

Accepted Answer

There is only one x-intercept

Answer

it has a maximum

Answer

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

Question 14

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

Accepted Answer

it has a maximum

Accepted Answer

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

Accepted Answer

The axis of symmetry is x = 2

Answer

it has a minimum

Answer

The y - intercept is (0, 0)

Question 15

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

Accepted Answer

y = ax² + bx + c

Answer

ax + by = c

Answer

y = a(x - h)² + k

Answer

y = mx + b

Question 16

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 17

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 18

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 19

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 20

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

Accepted Answer

False

Answer

True

Question 21

What are the green dots called?

Accepted Answer

roots/x-intercepts

Answer

y-intercepts

Answer

maximum

Answer

minimum

Question 22

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

Accepted Answer

Zeros

Answer

y-intercept

Answer

x-axis

Answer

They don't have another name

Question 23

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 24

Is this a max or min?

Accepted Answer

max

Answer

min

Answer

cannot be determined

Question 25

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

Accepted Answer

(-2, 9) maximum

Answer

(-2, 9) minimum

Answer

(-5, 0) minimum

Answer

(0, 5) maximum

Question 26

What is the axis of symmetry for this graph?

Accepted Answer

x = -2

Answer

x = 9

Answer

y = -2

Answer

y = 9

Question 27

What are the zeros of the graph?

Accepted Answer

x = -5, 1

Answer

x = -5, 5

Answer

x = 1, 5

Question 28

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

Accepted Answer

$$y=x^2+x-2$$

Answer

$$y=x^2-x-2$$

Answer

$$y=x^2-x+2$$

Answer

$$y=x^2+x+2$$

Question 29

Which factors represents this graph?

Accepted Answer

(x + 2) (x - 1)

Answer

(x - 2)(x + 1)

Answer

(x + 1)(x - 3)

Answer

(x - 1)(x - 2)

Question 30

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

Accepted Answer

True

Answer

False

Answer

Not sure

Answer

Maybe

Question 31

How many zeros does this graph have?

Accepted Answer

1

Answer

0

Answer

2

Answer

-4

Question 32

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

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 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?

Accepted Answer

4

Answer

-4

Answer

2

Answer

8

Question 34

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

Accepted Answer

6 feet

Answer

-16 feet

Answer

0 feet

Answer

20 feet

Question 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")?

Accepted Answer

4.5 sec

Answer

2.5 sec

Answer

3.5 sec

Answer

3.8 sec

Question 36

Which one are we looking for?

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

Accepted Answer

y-intercept

Answer

x at vertex

Answer

y at vertex

Answer

positive zero

Question 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.

Accepted Answer

positive zero

Answer

x at vertex

Answer

y at vertex

Answer

y-intercept

Question 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?

Accepted Answer

positive zero

Answer

x at vertex

Answer

y at vertex

Answer

y-intercept

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