Quiz about Math 2 Notebook/ Assignment Check Unit 4B

Question 1

(From Notes: Investigating the Graphs of Quadratic Functions)

Fill in the blank: The _____ of a parabola is the highest or lowest point.

Accepted Answer

vertex

Answer

x-intercept

Answer

y-intercept

Answer

direction

Answer

axis of symmetry

Question 2

(From Notes: Investigating the Graphs of Quadratic Functions)

Graph $$y=-x^2+4x+5$$ . What is vertex?

Accepted Answer

(2, 9)

Answer

(-1, 0)

Answer

(5, 0)

Answer

(0, 5)

Answer

(-2, 1)

Question 3

(From Notes: Finding the Line of Symmetry)

What is the formula for finding the line of symmetry?

Accepted Answer

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

Answer

$$y=ax^2+bx+c$$

Answer

$$y=mx+b$$

Answer

$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

Answer

$$a^2+b^2=c^2$$

Question 4

(From Notes: Finding the Line of Symmetry)

What are the values of a, b and c for the equation $$y=-x^2+4x-3$$ ?

Accepted Answer

a = -1

b = 4

c = -3

Answer

a = 1

b = 4

c = 3

Answer

a = x²

b = 4x

c = 3

Answer

a = -x²

b = 4x

c = -3

Question 5

(From Notes: The Zero Product Property)

Select ALL that apply. The x-intercepts are often called...

Accepted Answer

zeros

Accepted Answer

solutions

Accepted Answer

roots

Answer

maximums

Answer

minimums

Question 6

(From Notes: The Zero Product Property)

SELECT TWO: Find the x-intercepts of the quadratic function: $$y=-16x^2+48x$$ .

Accepted Answer

x=0

Accepted Answer

x=3

Answer

x=1

Answer

x=2

Answer

x=4

Question 7

(From Notes: Key Features of Quadratic Functions)

What is the y-intercept of $$y=x^2+4x+3$$ ?

Accepted Answer

(0,3)

Answer

(-1, 0)

Answer

(0,-3)

Answer

(-3,0)

Answer

(3,0)

Question 8

(From Notes: Key Features of Quadratic Functions)

What is the vertex of $$y=x^2+4x+3$$ ?

Accepted Answer

(-2, -1)

Answer

(0,3)

Answer

(-3,0)

Answer

(-1,0)

Answer

x=-2

Question 9

(From Worksheet: Graphing Quadratics from a Table)

Determine the maximum or minimum value for the following quadratic: $$y=-x^2+2x-1$$

Accepted Answer

Max. at y=0

Answer

Min. at y=0

Answer

Min. at y=1

Answer

Max. at y=1

Question 10

(From Worksheet: Graphing Quadratics from a Table)

Determine the maximum or minimum value for the following quadratic: $$y=x^2-6x+5$$

Accepted Answer

Min. at y=-4

Answer

Min. at y=3

Answer

Max. at y=3

Answer

Max. at y=-4

Question 11

(From Worksheet: Graphing Quadratics & Zero Product Property)

Determine the line of symmetry for the following quadratic: $$y=x^2-2x+1$$

Accepted Answer

x=1

Answer

x=-2

Answer

x=-1

Answer

x=0

Answer

x=2

Question 12

(From Worksheet: Graphing Quadratics & Zero Product Property)

SELECT TWO: Use the Zero Product Property to find the x-intercepts: $$2x^2+5x-12=y$$

Accepted Answer

x=-4

Accepted Answer

x=1.5

Answer

x=-2

Answer

x=0

Answer

x=2

Question 13

(From Worksheet: Unit 4 Study Guide)

2) True or False: Given $$x^2+5x+6=y$$ , the roots are x=2 and x=-3. EXPLAIN.

Accepted Answer

False. x=-3 is a root, but not x=2.

Answer

True. Both x=2 and x=-3 are roots.

Answer

False. x=2 is a root, but not x=-3.

Answer

False. Neither x=2 or x=-3 are roots.

Question 14

(From Worksheet: Unit 4 Study Guide)

11) Name the part of the parabola that is highlighted in YELLOW.

Accepted Answer

y-intercept

Answer

vertex

Answer

axis of symmetry

Answer

x-intercept(s)

Question 15

(From Worksheet: Unit 4 Study Guide)

13) To completely factor $$x^2-5x$$ , what would be the FIRST STEP?

Accepted Answer

Factor out a GCF of x

Answer

Factor out a GCF of 5

Answer

Factor using a difference of two squares.

Answer

Factor using an area model and X.

Answer

Divide by 2

Question 16

(From Worksheet: Unit 4 Study Guide)

12) Use the table to graph the quadratic function: $$y=x^2-8x+7$$ . WHAT IS THE VERTEX?

Accepted Answer

(4, -9)

Answer

x=4

Answer

(0, 7)

Answer

(7, 0)

Answer

(1, 0)

Math 2 Notebook/ Assignment Check Unit 4B

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