Whether the graph of the parabola q ( x ) = − 1 3 ( x − 1 ) 2 + 1 opens upward or downward.

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Answer 1

Question

Chapter 3.1, Problem 16PE

(a)

To determine

To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

(b)

To determine

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

(c)

To determine

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

(d)

To determine

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

(e)

To determine

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

(f)

To determine

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

(g)

To determine

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

(h)

To determine

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

Expert Solution & Answer

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A craftsman of string instruments has received a new order to craft violins and guitars. The craftsman haslimited resources (wood, string, varnish) and time available to create the instruments. Each type of instrument(violin and guitar) requires specific amounts of these resources as well as a certain amount of time to complete.The craftsman wants to find the optimal number of violins and guitars to create in order to maximize the profitfrom selling them, while respecting the resource and time constraints (all instruments will be sold).The profit from selling each violin is 6,000 NOK, and the profit from selling each guitar is 3,000 NOK.Each violin requires 4 kg of wood, 0.3 l of varnish, and 2 m of string, and takes 3 days to craft. For eachguitar, the craftsman needs 5 kg of wood, 0.1 l of varnish, and 6 m of string, and it takes 2 days to make it.The craftsman’s workshop is stocked with 60 kg of wood, 2.5 l of varnish, and 65 m of string. The order needsto be completed in 30…

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Answer 2

Question

Chapter 3.1, Problem 16PE

(a)

To determine

To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

(b)

To determine

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

(c)

To determine

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

(d)

To determine

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

(e)

To determine

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

(f)

To determine

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

(g)

To determine

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

(h)

To determine

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 3.1, Problem 16PE

(a)

To determine

To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

(b)

To determine

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

(c)

To determine

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

(d)

To determine

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

(e)

To determine

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

(f)

To determine

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

(g)

To determine

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

(h)

To determine

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 3.1, Problem 16PE

(a)

To determine

To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

(b)

To determine

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

(c)

To determine

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

(d)

To determine

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

(e)

To determine

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

(f)

To determine

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

(g)

To determine

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

(h)

To determine

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 3.1, Problem 16PE

(a)

To determine

To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

(b)

To determine

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

(c)

To determine

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

(d)

To determine

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

(e)

To determine

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

(f)

To determine

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

(g)

To determine

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

(h)

To determine

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

Answer 6

Chapter 3.1, Problem 16PE

(a)

To determine

To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

Answer 7

Chapter 3.1, Problem 16PE

(a)

To determine

To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

Answer 8

(b)

To determine

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

Answer 9

(b)

To determine

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

Answer 10

(c)

To determine

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

Answer 11

(c)

To determine

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

Answer 12

(d)

To determine

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

Answer 13

(d)

To determine

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

Answer 14

(e)

To determine

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

Answer 15

(e)

To determine

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

Answer 16

(f)

To determine

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

Answer 17

(f)

To determine

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

Answer 18

(g)

To determine

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

Answer 19

(g)

To determine

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

Answer 20

(h)

To determine

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

Answer 21

(h)

To determine

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

Answer 22

Expert Solution & Answer

Answer 23

Expert Solution & Answer

Answer 24

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Answer 25

Ch. 3.1 - Prob. 1SP Ch. 3.1 - Prob. 2SP Ch. 3.1 - Prob. 3SP Ch. 3.1 - Prob. 4SP Ch. 3.1 - Prob. 5SP Ch. 3.1 - Prob. 6SP Ch. 3.1 - Prob. 1PE Ch. 3.1 - Prob. 2PE Ch. 3.1 - Prob. 3PE Ch. 3.1 - Prob. 4PE

Whether the graph of the parabola q ( x ) = − 1 3 ( x − 1 ) 2 + 1 opens upward or downward.

Concept explainers

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To Calculate: Whether the graph of the parabola q(x)=−13(x−1)2+1 opens upward or downward.

To Calculate: The vertex of the parabola q(x)=−13(x−1)2+1

To Calculate: The x - intercept(s) of the parabola q(x)=−13(x−1)2+1

To Calculate: The y -intercept of the parabola q(x)=−13(x−1)2+1.

To Graph: The sketch of the function q(x)=−13(x−1)2+1.

To Calculate: The axis of symmetry of the function q(x)=−13(x−1)2+1.

To Calculate: The minimum or the maximum value of the function q(x)=−13(x−1)2+1.

To Calculate: The domain and the range of the function q(x)=−13(x−1)2+1.

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Chapter 3 Solutions