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6. A biologist took a count of the number of fish in a particular lake, and recounted the lakes population of fish on each of the next six weeks.(Table) week: 0 1 2 3 4 5 6 population: 350 353 382 437 518 625 758Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.
7. Suppose a parabola has vertex (-4,7) and also passes through the point (-3,8). What is the equation of the parabola in vertex form?
8. What is the equation, in standard form, of a parabola that contains the following points?(-2,-20),(0,-4),(4,-20)
x^2+13x+42Factor x^2+13x+42 using the AC method.Consider the form x^2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 42 and whose sum is 13. 6,7Write the factored form using these integers.(x+6)(x+7)
Rewrite 9x2 as (3x)^2.(3x)^2−4Rewrite 4 as 2^2.(3x)2−2^2Since both terms are perfect squares, factor using the difference of squares formula, a^2−b^2=(a+b)(a−b) where a=3x and b=2.(3x+2)(3x−2)
Student Solutions Manual for Swokowski/Cole"s Precalculus: Functions and Graphs12th EditionEarl W. Swokowski, Jeffery A. Cole
Elementary and Intermediate Algebra: Concepts & Applications6th EditionBittinger, Ellenbogen, Johnson
College Algebra: Graphs and Models6th EditionBittinger, Ellenbogen, Judith A. Beecher, Judith A. Penna
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