Quiz about 8.1-8.3 Review

Question 1

x=5 could be an example of a(n) what?

Accepted Answer

axis of symmetry

Answer

y-intercept

Answer

x-intercept

Answer

vertex

Question 2

Dude, what's the radical axis of symmetry for this gnarly equation?

y=x²+2x-1

Accepted Answer

x= -1

Answer

x= 1

Answer

x= 2

Answer

x= -2

Question 3

Dude, where does this radical graph hit the y-axis?

Accepted Answer

(0, 1)

Answer

(-1, 0)

Answer

(1, 0)

Answer

(0, -1)

Question 4

Dude, what's the radical axis of symmetry of this wicked graph?

Accepted Answer

x= 0

Answer

y= 0

Answer

y= -1

Answer

x= -1

Question 5

What is the vertex of this graph?

Accepted Answer

(0, -1)

Answer

(2, 3)

Answer

(1, 0)

Answer

(-1, 0)

Question 6

Dude, like, if Michelangelo was doing a rad skateboard trick on a half-pipe shaped like y=3x²+6x-12, at what point would he be at the very center of that gnarly curve?

Accepted Answer

x= -1

Answer

x= 1

Answer

x= 2

Answer

x= -2

Question 7

Calculate the Vertex for the given equation:

y=x² - 6x + 4

Accepted Answer

(3, -5)

Answer

x= 3

Answer

x= -3

Answer

(-3, 31)

Question 8

Dude, like, if Michelangelo was calculating the Axis of Symmetry for this gnarly equation:

y = 2x² + 12x + 2

What would it be?

Accepted Answer

x = -3

Answer

x = 6

Answer

x = -6

Answer

x = 3

Question 9

Calculate the Vertex of the given equation:

y = 5x²- 10x + 15

Accepted Answer

( 1, 10)

Answer

x = 1

Answer

x = - 1

Answer

(-1, 30)

Question 10

What is the Vertex of this graph?

Accepted Answer

( 2, - 1 )

Answer

( 1, 0 )

Answer

( 3, 0 )

Answer

( 0, 3 )

Question 11

What is the Axis of Symmetry for this graph?

Accepted Answer

x = 2

Answer

y = 3

Answer

x = 3

Answer

x = 1

Question 12

Does this graph have a Maximum or a Minimum?

Accepted Answer

Minimum

Answer

Maximum

Answer

Neither

Question 13

Which one of these equations matches the given graph?

Accepted Answer

y = x² - 4x + 3

Answer

y = - x² + 4x + 3

Answer

y = - x² - 4x + 3

Answer

y = x² - 4x - 3

Question 14

Dude, which radical equation makes the skateboard ramp wider?

Accepted Answer

$$y=\frac{-2}{3}x^2$$

Answer

$$y=3x^2+1$$

Answer

$$y=-4x^2$$

Answer

$$y=x^{2\ }-2$$

Question 15

Which of the following describe the shape of a quadratic equation (on a graph)? Select all that apply.

Accepted Answer

A parabola.

Accepted Answer

A 'U' shape.

Answer

A straight line.

Answer

A circle.

Question 16

Does the graph have a minimum or a maximum?

Accepted Answer

maximum

Answer

minimum

Question 17

Does the graph have a minimum or maximum?

Accepted Answer

minimum

Answer

maximum

Question 18

Which of the following is the vertex of the graph?

Accepted Answer

(0, 4)

Answer

(2, 0)

Answer

(-2, 0)

Answer

(-1, 3)

Question 19

Which of the following is the vertex of the graph?

Accepted Answer

(3, -6)

Answer

(0, 3)

Answer

(1, 10)

Answer

(4, -5)

Question 20

Find the vertex of
y = x² + 4x + 1
Use the equation in the picture!

Accepted Answer

(2, 13)

Answer

(0, 0)

Answer

(-2, 13)

Answer

(0.375, 6.0625)

Question 21

Find the vertex of
y = 4x² + 4x + 4
Use the equation in the picture!

Accepted Answer

(-0.5, 7)

Answer

(0, 0)

Answer

(0.5, 4)

Answer

(0.375, 6.0625)

Question 22

Which equation below matches the graph?

Accepted Answer

y = x² + 4x + 3

Answer

y = x² + 4x

Answer

y = x² + 3

Answer

y = x² + 3x + 1

Question 23

What is the standard form formula?

Accepted Answer

y=ax²+bx+c

Answer

y=mx+b

Answer

y=a(x-h)2+k

Question 24

What is a axis of symmetry?

Accepted Answer

the line that divides the graph in equal halves

Answer

all real numbers

Answer

y=5

Answer

y=mx+b

Question 25

Is the graph shown above a max or min?

Accepted Answer

Minimum

Answer

Maximum

Question 26

What is the y-intercept of the graph shown above?

Accepted Answer

(0,-6)

Answer

all real numbers

Answer

(0,6)

Answer

(0,2)

Question 27

What is the vertex of the graph shown above?

Accepted Answer

(2,-1)

Answer

(7,6)

Answer

(-1,2)

Answer

(5,0)

Question 28

Graph the following equation:

y=x²-2x-3

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 29

What is the equation of the axis of symmetry?

Accepted Answer

x = 0

Answer

y = 0

Answer

x = 3

Answer

x = -3

Question 30

Quadratic equations take the shape of a _______ when graphed.

Accepted Answer

parabola

Answer

straight line

Answer

snaked line

Answer

elliptical

Question 31

Use the picture to find  the vertex and axis of symmetry

Accepted Answer

Vertex (3,8) Axis x=3

Answer

Vertex (3,8) Axis y=3

Answer

Vertex (8,3) Axis x=3

Answer

Vertex (8,3) Axis y=3

Question 32

What is the y-intercept of this parabola?

Accepted Answer

(0, 6)

Answer

(6, 0)

Answer

(-2, 0)

Answer

(-4, -2)

Question 33

What is the axis of symmetry of this parabola?

Accepted Answer

x = -4

Answer

-4

Answer

x = -2

Answer

y = -4

Question 34

Identify the function graphed here.

Accepted Answer

$$f\left(x\right)=\left(x+4\right)^2-2$$

Answer

$$f\left(x\right)=\left(x-4\right)^2-2$$

Answer

$$f\left(x\right)=-\left(x+4\right)^2-2$$

Answer

$$f\left(x\right)=-\left(x-4\right)^2-2$$

Question 35

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 36

Find the y-intercept of f(x) = 2x²-2x + 1

Accepted Answer

1

Answer

2

Answer

-2

Answer

-1

Question 37

What is the axis of symmetry?

Accepted Answer

the dividing line for a parabola

Answer

the slope of the graph

Answer

a way to spin my pencil

Answer

the x-axis

Question 38

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 39

Does the equation open up or down?
Y = -3x² +7x - 2

Accepted Answer

down

Answer

up

Answer

Neither; it opens to the right.

Answer

Neither; it opens to the left.

Question 40

What is the maximum/minimum of a parabola called?

Accepted Answer

vertex

Answer

point

Answer

top

Answer

bottom

Question 41

What do we call the graph of a quadratic function?

Accepted Answer

parabola

Answer

linear

Answer

cubic

Answer

sinusoidal

Question 42

Given the equation above, find h(-3).

Accepted Answer

23

Answer

-13

Answer

5

Answer

-23

Question 43

Which equation best represents 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 44

What is the vertex form of this quadratic?

Accepted Answer

f(x) = (x - 2)²- 4

Answer

f(x) = -(x + 2)²- 4

Answer

f(x) = (x - 2)²+ 4

Answer

f(x) = -(x - 2)² - 4

Question 45

What is the name of this form of a quadratic equation:

y = ax² + bx + c

Accepted Answer

standard form

Answer

vertex form

Answer

factored form

Answer

zero form

Question 46

What are the x-intercepts of this function?

Accepted Answer

(1,0) and (5, 0)

Answer

(0, 3) and (0, -5)

Answer

(1, 5) and (5, 1)

Answer

(0, 1) and (0, 5)

Question 47

The minimum of a quadratic function is

Accepted Answer

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

Answer

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

Question 48

The maximum of a quadratic function is

Accepted Answer

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

Answer

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

Question 49

What is the orange line called?

Accepted Answer

Axis of Symmetry

Answer

Line of Solutions

Answer

Roots

Answer

Vertex

Question 50

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

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 51

If the vertex of this graph is (2, -1), what is the axis of symmetry?

Accepted Answer

x = 2

Answer

x= -1

Answer

y = -1

Answer

x = -2

Question 52

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

Accepted Answer

max/ opens down

Answer

min/ opens up

Answer

max/ opens up

Answer

min/ opens down

Question 53

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 54

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 55

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 56

A parabola has a vertex at (2,-3).

Where is the axis of symmetry?

Accepted Answer

x = 2

Answer

y = -2

Answer

y = 3

Answer

x = -3

Question 57

What is the vertex?

Accepted Answer

(4,-4)

Answer

(2,0)

Answer

(0,2)

Answer

(6,0)

Question 58

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 59

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

Accepted Answer

x=1

Answer

x=-6

Answer

x=2

Answer

x=-1

Question 60

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 61

Find the vertex of f(x)= -2x²-16x+3.

Accepted Answer

(-4, 35)

Answer

(4, -93)

Answer

(-4,99)

Answer

(8,3)

Question 62

The equation for the axis of symmetry line is

$$x=\frac{-b}{2a}$$

Accepted Answer

true

Answer

false

Question 63

What is the vertex of the function?

Accepted Answer

(-3, -16)

Answer

(3, 20)

Answer

(-6, -7)

Answer

(0, -7)

Question 64

Does y = -4x² have a maximum or minimum value?

Accepted Answer

maximum

Answer

minimum

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