Select The Graph Of The Quadratic Function X 4 X2 Identify The Vertex And Axis Of Symmetry JC Week 4 Assignment Help

Question Description

QUESTION 1

1. Select the graph of the quadratic function ƒ(x) = 4 – x2. Identify the vertex and  axis of symmetry.

   	Vertex: (0,4) Axis of symmetry: y-axis
   	Vertex: (0,2) Axis of symmetry: y-axis
   	Vertex: (0,5) Axis of symmetry: y-axis
   	Vertex: (0,3) Axis of symmetry: y-axis
   	Vertex: (0,1) Axis of symmetry: y-axis

5 points  

QUESTION 2

1. Select the graph of the quadratic function ƒ(x) = x2 + 3.  Identify the vertex and axis of symmetry.

   	Vertex: (0,4) Axis of symmetry: y-axis
   	Vertex: (0,5) Axis of symmetry: y-axis
   	Vertex: (0,1) Axis of symmetry: y-axis
   	Vertex: (0,3) Axis of symmetry: y-axis
   	Vertex: (0,2) Axis of symmetry: y-axis

5 points  

QUESTION 3

1. Determine the vertex of the graph of the quadratic function

   

5 points  

QUESTION 4

1. Determine the x-intercept(s) of the quadratic function

   ƒ(x) = x2 + 4x – 32

   	(-4,0), (8,0)
   	(0,0), (7,0)
   	(4,0), (-8,0)
   	(0,0), (-7,0)
   	no x-intercept(s)

5 points  

QUESTION 5

1. Write a polynomial that fits the description.

   A fifth-degree polynomial with leading coefficient 4

   	1024×5 + 3x + 1
   	4×5 + 3x + 1
   	4×4 + 3×3 + 4×2 + 5x + 1
   	6×5 + 3x + 1
   	x5 + 4

5 points  

QUESTION 6

1. Perform the operation and write the result in standard form.

   (3×2 + 5) – (x2 – 4x + 5)

   	3×2 + 4x
   	2×2 + 4x + 5
   	2×2 – 4x
   	2×2 + 4x
   	2×2 + 4x – 5

5 points  

QUESTION 7

1. Multiply or find the special product.

   (x+4)(x+9)

   	x2 + 13x
   	x2 + 4x + 36
   	x2 + 36
   	x2 + 13x + 36
   	x2 + 13x + 9

5 points  

QUESTION 8

1. Factor out the common factor.

   8×3 – 104x

   	8×3(1-13x)
   	8(x3-13x)
   	8×2(x-13)
   	x(8×2-104)
   	8x(x2-13)

5 points  

QUESTION 9

1. Factor the Trinomial.

   x2 + 14x + 45

   	(x-5)(x-9)
   	(x+5)(x-9)
   	(x+5)(x+9)
   	(x-5)-(x-9)
   	(x-5)(x+9)

5 points  

QUESTION 10

1. Determine whether the value of x=0 is a solution of the equation.

   5x-3 = 3x+5

   	yes
   	no

5 points  

QUESTION 11

1. Solve the equation and check your solution.

   67x – 24 = 3x + 8(8x-3)

   	3
   	67
   	-3
   	-67
   	All real numbers

5 points  

QUESTION 12

1. Solve the quadratic equation by factoring.

   x2 – 6x + 5 = 0

   	-1,5
   	-1,-5
   	1,-5
   	1,5
   	6,5

5 points  

QUESTION 13

1. Solve the equation and check your solution. (If not possible, explain why)

   

   	8
   	7/17
   	15/8
   	12
   	15

5 points  

QUESTION 14

1. Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.  Sketch the line.

   (-6,6), m=-2

   	y=6x+6
   	y=6x+6
   	y = -6x-6
   	y = -2x – 6
   	y = 6x-6

5 points  

QUESTION 15

1. Evaluate the function  at q(3)

   	1/8
   	1/6
   	1/4
   	1/7
   	1/5

5 points  

QUESTION 16

1. Does the table describe a function?

   

   	yes
   	no

5 points  

QUESTION 17

1. Find the domain of the function.

   

   	All real numbers x
   	Non-negative real numbers x such that x = 0
   	Non-negative real numbers x
   	All real numbers x such that x<0
   	All real numbers x such that x>0

5 points  

QUESTION 18

1. Find the zeroes of the function algebraically.

   ƒ(x) = 2×2 – 3x – 20

   	-5/2, 4
   	-5/2, -4
   	-2/5, 4
   	5/2, -4
   	5/2, 4

5 points  

QUESTION 19

1. Find (f+g)(x)

   ƒ(x) = 2x – 4, g(x) = 6 – x

   	3x – 2
   	2x – 2
   	2x + 2
   	3x + 2
   	x+2

5 points  

QUESTION 20

1. Find g ∘ f

   ƒ(x) = x3, g(x) = x – 1

   	x3 – 1
   	x3
   	(x – 1)3
   	(x3 + 1)
   	(x + 1)3

5 points  

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