Concept explainers
To evaluate which statement best describes the given graph
Answer to Problem 76PFA
D. The range is
Explanation of Solution
Given information :
Options.
A. The equation of the axis of symmetry is
B. The y-intercept is 1
C. The maximum value is 6
D. The range is
The graph of a quadratic equation (
This vertex point shall be:
Highest point (if
Or, lowest point (if
In this case, ‘a’ is lesser than 0 hence the graph will have a maximum and will open downwards.
A parabola always points to infinity, either negative or positive.
To graph a quadratic function, compute the axis of symmetry, vertex and y-intercept, post which, plot the same on a graph.
The axis of symmetry bisects the parabola into two equal parts. Hence each point on the parabola would have an equal point on the other side of the axis of symmetry. Plot these points on the graph with a smooth curve.
A. The equation of the axis of symmetry is
The graph shows the vertex at
Therefore, option A is false.
B. The y-intercept is 1
The graph shows that the y-axis is intercepted above
Therefore, option B is false.
C. The maximum value is 6
The parabola in the graph opens upwards and hence it only has a minimum value corresponding to the vertex at the lowest point in the graph. There is no maximum value.
Therefore, option C is false.
D. The range is
The graph shows the parabola with the vertex at the lowest point at
Therefore, option D is true.
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra (7th Edition)
College Algebra
PREALGEBRA
College Algebra
Linear Algebra and Its Applications (5th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
- 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