03 Jul Select the graph of the quadratic function ƒ(x) = 4 – x2. Identify the vertex and axis of symmetry., JC Week 4 assignment help

Question Description
QUESTION 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

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

Determine the vertex of the graph of the quadratic function

5 points

QUESTION 4

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

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

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

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

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

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

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

5x-3 = 3x+5

yes

no

5 points

QUESTION 11

Solve the equation and check your solution.

67x – 24 = 3x + 8(8x-3)

3

67

-3

-67

All real numbers

5 points

QUESTION 12

Solve the quadratic equation by factoring.

x2 – 6x + 5 = 0

-1,5

-1,-5

1,-5

1,5

6,5

5 points

QUESTION 13

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

8

7/17

15/8

12

15

5 points

QUESTION 14

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

Evaluate the function at q(3)

1/8

1/6

1/4

1/7

1/5

5 points

QUESTION 16

Does the table describe a function?

yes

no

5 points

QUESTION 17

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

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

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

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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