Explanation Given: f ( x ) = ( x + 4 ) 2 − 2 Graph: Use the steps shown below to determine the graph of the quadratic equation, axis of symmetry, and the function's domain and range. Step 1: The quadratic function's standard form is f ( x ) = a ( x − h ) 2 + k . The graph of f is a parabola whose vertex is the point ( h , k ) . Therefore, the vertex of the parabola f ( x ) = ( x + 4 ) 2 − 2 is ( h , k ) = ( − 4 , − 2 )

Intermediate Algebra for College Students (7th Edition)

7th Edition

ISBN: 9780134178943

Author: Robert F. Blitzer

Publisher: PEARSON

See similar textbooks

Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…

Videos

Question

Chapter 8, Problem 34RE

To determine

To graph: The quadratic equation f(x)=(x+4)2−2 using vertex and intercepts.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 33RE

Chapter 8, Problem 35RE

Students have asked these similar questions

The average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.

Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

In Exercises 47–50, determine the x-intercepts of the graph of each quadratic function. Then match the function with its graph, labeled (a)-(d). Each graph is shown in a [-10, 10, 1] by [-10, 10, 1] viewing rectangle. 47. у 3D х2 -бх + 8 48. y = x? – 2r – 8 49. y = x² + 6x + 8 50. y = x² + 2x – 8 а. b. C. d.

Chapter 8 Solutions

Intermediate Algebra for College Students (7th Edition)

Ch. 8.1 - Check Point 1 Solve: . Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 10CP

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

To graph: The quadratic equation f ( x ) = ( x + 4 ) 2 − 2 using vertex and intercepts.

Solution Summary: The author explains how the quadratic equation f(x) = a symmetric parabola, and the function's domain and range are determined.

Concept explainers

Videos

To graph: The quadratic equation f(x)=(x+4)2−2 using vertex and intercepts.

Want to see the full answer?

Chapter 8 Solutions