8.3 Standard Form

8.3 Standard Form

Learning Target

Multiple Choice

How many irrational numbers are between 1 and 6?

• 0
• 2
• finitely many
• infinitely many

Multiple Choice

 A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member has consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

• 72
• 60
• 54
• 45

Multiple Choice

 The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is $$2\frac{1}{2}$$ inches long and has a lead of $$\frac{1}{8}$$ inch, how many complete turns would get it all the way into a piece of wood?

• 15
• 25
• 30
• 20

Multiple Choice

 What is x, the second term in the geometric series $$\frac{1}{4}+x+\frac{1}{36}+\frac{1}{108}+...$$ ?

(Note: In a geometric series the ratio of any term to the following term is constant).

• 1/8
• 1/12
• 1/20
• 1/16

Multiple Choice

 Which of the following statements must be true whenever n, a, b, and c are positive integers such that n<a, c>a, and b>c?

• $$a<n$$

• $$b-n>a-n$$

• $$b<n$$

• $$2n>a+b$$

​Key Concepts

​x	​y
​	​
​	​
​	​
​	​
​	​

​x	​y
​	​
​	​
​	​
​	​
​	​

​x	​y
​	​
​	​
​	​
​	​
​	​

​AOS:



Vertex:


Y-intercept:



Transformation:

Multiple Choice

Which of the following is the equation for the axis of symmetry line?

• $$x=-\frac{b}{2a}$$

• $$x=\frac{b}{2a}$$

• $$x=-\frac{2b}{a}$$

• $$x=\frac{2b}{a}$$

Multiple Choice

What is the axis of symmetry of the quadratic equation $$y=3x^2-6x+5$$ ?

• x=3
• x=2
• x=4
• x=1

Multiple Choice

What is the vertex of the quadratic equation $$y=3x^2-6x+5$$ ?

• (0, 5)
• (4, 1)
• (2, 3)
• (1, 2)

Multiple Choice

Describe the transformation of the quadratic equation $$y=3x^2-6x+5$$ .

• stretch, right 1, up 2

• shrink, right 1, up 2

• reflection, left 1, down 2

• stretch, left 1, down 2

Multiple Choice

What is the y-intercept of the quadratic equation $$y=3x^2-6x+5$$ ?

• (0, 5)

• (0, 10)

• (-6, 0)

• (3, 0)

Graphing

Graph $$y=-x^2-6x-7$$

Graphing

Graph $$y=\frac{1}{2}x^2+2x-1$$

Graphing

Graph $$y=2x^2+8x-1$$