Tuesday, October 20, 2015

College Algebra, Chapter 4, 4.1, Section 4.1, Problem 26

A quadratic function f(x)=5x2+30x+4.

a.) Find the quadratic function in standard form.


f(x)=5x2+30x+4f(x)=5(x2+6x)+4Factor out 5 from the x-termf(x)=5(x2+6x+9)+4(5)(9)Complete the square: add 9 inside the parentheses, subtract (5)(9) outsidef(x)=5(x+3)41Factor and simplify


The standard form is f(x)=5(x+3)41.

b.) Draw its graph.







c.) Find its maximum or minimum value.

Based from the graph in part (b), since the graph opens upward the minimum value of f is f(3)=41.

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