Exam 7 Review Day 2

Exam 7 Review Day 2

Quadratic Functions

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By Haley Middleton

​Quadratic Functions

Multiple Choice

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

• y = -2
• x = 3
• x = -3
• y = 2

Multiple Choice

Is this a max or min?

• max
• min
• cannot be determined

Multiple Choice

What is the axis of symmetry?

• the slope of the graph
• the dividing line for a parabola
• a way to spin my pencil
• the x-axis

Multiple Choice

What is the maximum/minimum of a parabola called?

• vertex
• point
• top
• bottom

Multiple Choice

What is the vertex of this parabola?

• (−1, 3)
• (−3, 11)
• (−2, 5)
• (0, 5)

Multiple Choice

Find the y-intercept of

$$h\left(x\right)=x^2-8x+12$$  

• 12

• -12 

• -8 

• 8 

Multiple Choice

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Multiple Choice

What is the range of this function?

• (- ∞,+∞)
• [0, +∞)
• [-2, +∞)
• [2, +∞)

Multiple Choice

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Multiple Choice

What does "a" control in a graph of f(x) = ax²+ bx+ c?

• Opens up or down
• Where the graph crosses at X-intercept
• Where the graph crosses at Y-intercept

​Complex Numbers​

​Adding Complex Numbers: Combine like terms

Subtracting Complex Numbers: Change the signs of the second polynomial then combine like terms.

Multiplying Complex Numbers: Use FOIL method or Box method​

Multiple Choice

(5-2i) + (-7+8i)

• -2+6i
• 12+6i
• -35-16i²
• -35 -16i

Multiple Choice

(3i)(-2+4i)

• -6+12i
• -12-6i
• -2+7i
• 12+6i

Multiple Choice

Simplify: 
(10+ 15i) - (48 - 30i)

• 58 - 45i
• 58 - 15i
• -38 - 15i
• -38 + 45i

Multiple Choice

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Multiple Choice

Factor:
x² - 10x - 24

• (x + 12)(x - 2)
• (x - 6)(x - 4)
• (x - 12)(x + 2)
• (x +6)(x - 4)

Multiple Choice

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Multiple Choice

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

• x = 1 and x = 3
• x = 6 and x = -2
• x = -1 and x = -3

Multiple Choice

What is this formula?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Polynomials

Some text here about the topic of discussion

​-Adding Polynomials: Combine like terms

-Subtracting Polynomials: Multiply the second polynomial by -1 and then combine like terms.​

-Multiplying Polynomials: ​FOIL

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Multiple Choice

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Multiple Choice

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 4
• b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 7

Multiple Choice

(2x + 1)(x - 3)

• -3x - 3
• 2x² + 5x - 3
• 2x² - 5x - 3
• 2x² - 5x +3

Dividing Polynomials

Multiple Choice

Divide the polynomial by the monomial.

• 15x⁹ - 8x³
• 3x⁶ - 8x³
• -5x¹²
• 3x⁶ - 40x³

Multiple Choice

Divide the polynomial by the monomial.

• 2x +5

• 2x - 8

• 2x + 12
• 2x + 7