Explanation Given Information: The data points ( − 3 , − 30 ) , ( 3 , 0 ) , ( 6 , 6 ) . Calculation: Consider the standard form of quadratic equation , f ( x ) = a x 2 + b x + c Substitute the data point ( − 3 , − 30 ) into the standard quadratic equation f ( x ) = a x 2 + b x + c , − 30 = a ( − 3 ) 2 + b ( − 3 ) + c Substitute the data point ( 3 , 0 ) into the standard quadratic equation f ( x ) = a x 2 + b x + c , 0 = a ( 3 ) 2 + b ( 3 ) + c Substitute the data point ( 6 , 6 ) into the standard quadratic equation f ( x ) = a x 2 + b x + c , 6 = a ( 6 ) 2 + b ( 6 ) + c Simplify the equations further as shown below, − 30 = 9 a − 3 b + c …...…... (1) 0 = 9 a + 3 b + c …...…... (2) 6 = 36 a + 6 b + c …...…... (3) add equation (2) and (1), − 30 = 9 a − 3 b + c 0 = 9 a + 3 b + c _ − 30 = 18 a + 2 b Further, − 15 = 9 a + c …......(4) Multiply equation (2) by 2 and Subtract it from equation from (3), 6 = 36 a + 6 b + c 0 = 18 a − 6 b − 2 c _ 6 = 18 a − c Further, 6 = 18 a − c …

Pearson eText Elementary and Intermediate Algebra: Concepts and Applications -- Instant Access (Pearson+)

7th Edition

ISBN: 9780137361847

Author: Marvin Bittinger, David Ellenbogen

Publisher: PEARSON+

See similar textbooks

Concept explainers

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

Videos

Question

Chapter 11.8, Problem 38ES

To determine

To calculate: The quadratic function that fits the set of data points (−3,−30),(3,0),(6,6).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.8, Problem 37ES

Chapter 11.8, Problem 39ES

Students have asked these similar questions

I want a mathematical relationship with all the details, not explanations and definitions

4 sinx cos2x+4 cos x sin2x-1=0

For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 6 -2 -[47] A = -3 1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. P-1AP =

Chapter 11 Solutions

Pearson eText Elementary and Intermediate Algebra: Concepts and Applications -- Instant Access (Pearson+)

Ch. 11.1 - Solve: 64=y2.Ch. 11.1 - Solve: t2=10. Give exact solutions and...Ch. 11.1 - Prob. 3YT Ch. 11.1 - Prob. 4YT Ch. 11.1 - Prob. 5YT Ch. 11.1 - 6. Solve: . Ch. 11.1 - Prob. 7YT Ch. 11.1 - Prob. 8YT Ch. 11.1 - Prob. 9YT Ch. 11.1 - Prob. 10YT

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.

The quadratic function that fits the set of data points ( − 3 , − 30 ) , ( 3 , 0 ) , ( 6 , 6 ) .

Solution Summary: The author explains how to calculate the quadratic function that fits the set of data points (-3,-30), (3,0 ) and ''underset_f

Concept explainers

Videos

To calculate: The quadratic function that fits the set of data points (−3,−30),(3,0),(6,6).

Want to see the full answer?

Chapter 11 Solutions