(a)
To graph:Graph of
(a)

Explanation of Solution
Given information:
Calculation:
Graph of
Similarly,
x | -2 | -1 | 0 | 1 | 2 | 3 |
y | -2 | 0 | 2 | 4 | 2 | 0 |
Conclusion:
It is a modulus function.
(b)
Vertex of the graph.
(b)

Answer to Problem 2CB
vertex of the graph is (1,4)
Explanation of Solution
Given data:
Graph of the equation
Calculation:
The vertex of the graph is the point from where the line of graph changes its direction.
So the vertex of the graph is (1,4)
Conclusion:
vertex of the graph is (1,4)
(c)
Domain and range of the function.
(c)

Answer to Problem 2CB
The domain is
Explanation of Solution
Given data:
Graph of the equation
Calculation:
By the graph it can be seen that the value of x for the equation is all real number
So the domain is
And the value of y axis is from 4 to -8
So the range is
Conclusion:
The domain is
(a)
x and y-intercept of the
(a)

Answer to Problem 2CB
The y-intercept is 2 and the x-intercept is 3.
Explanation of Solution
Given data:
Calculation:
The y intercept of the
And the x-intercept of the
Conclusion:
The y-intercept is 2 and the x-intercept is 3.
(e)
The range of function by vertex and sign of a.
(e)

Answer to Problem 2CB
As the vertex is the point from where direction of line change so it will tell us about the highest or lowest value of range of function.and the sign of a will tell about the direction of line coming from so it will tell us the highest value of range.
Explanation of Solution
Given data:
As the vertex is the point from where direction of line change so it will tell us about the highest or lowest value of range of function.and the sign of a will tell about the direction of line coming from so it will tell us the highest value of range.
Conclusion:
As the vertex is the point from where direction of line change so it will tell us about the highest or lowest value of range of function.and the sign of a will tell about the direction of line coming from so it will tell us the highest value of range.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
Thinking Mathematically (6th Edition)
Introductory Statistics
Elementary Statistics
College Algebra with Modeling & Visualization (5th Edition)
Elementary Statistics (13th Edition)
College Algebra (7th Edition)
- In simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)arrow_forwardIn simplest way, For each quadratic relation, find the zeros and the maximum or minimum. a) y = x 2 + 16 x + 39 b) y = 5 x2 - 50 x - 120arrow_forwardIn simplest terms and step by step Write each quadratic relation in standard form, then fi nd the zeros. y = - 4( x + 6)2 + 36arrow_forward
- In simplest terms and step by step For each quadratic relation, find the zeros and the maximum or minimum. 1) y = - 2 x2 - 28 x + 64 2) y = 6 x2 + 36 x - 42arrow_forwardWrite each relation in standard form a)y = 5(x + 10)2 + 7 b)y = 9(x - 8)2 - 4arrow_forwardIn simplest form and step by step Write the quadratic relation in standard form, then fi nd the zeros. y = 3(x - 1)2 - 147arrow_forward
- Step by step instructions The path of a soccer ball can be modelled by the relation h = - 0.1 d 2 + 0.5 d + 0.6, where h is the ball’s height and d is the horizontal distance from the kicker. a) Find the zeros of the relation.arrow_forwardIn simplest terms and step by step how do you find the zeros of y = 6x2 + 24x - 192arrow_forwardStep by step Find the zeros of each quadratic relation. a) y = x2 - 16xarrow_forward
- In simplest step by step terms, how do you find the zeros of y = x2 - 16arrow_forwardIn simplest terms, Describe the shape and position of the parabola relative to the graph of y = x 2 y = - 80( x + 9) 2 + 10.8arrow_forwardas a Identify each equation Parabola, circle, ellipse perbola without completio the square. x²-6x-14 y = 33-y² 14y ofarrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





