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# Class Note for MATH 1330 at UH

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 13 views.

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Date Created: 02/06/15
Math 1330 Section 21 Linear and Quadratic Functions A linear function is defined by an equation of the form fx mx b where m and b are constants The graph of fx mx b is a line with slope m and yintercept b 2 A quadratic function f 1s a functlon that can be put 1n the form fx ax bx C where a b and c are real numbers and a is not equal to zero 2 A quadratic functionf can be expressed in the form x h k called the standardform by the method of completing the square The axis of symmetry is the vertical line x h It divides the graph in half Parallel and Perpendicular Lines Parallel Lines Two lines with slopes mland mzare parallel if and only if m1 m2 Perpendicular Lines Two lines with slopes m1 and m2 are perpendicular if and only if one is the negative reciprocal of the other Example 1 Find a linear functionfthat passes through 1 2 and is perpendicular to the line 12x 6y 1 Example 2 Find a linear functionfthat passes through 6 l l and is parallel to the line containing 2 9 and 8 3 Example 3 Find a linear functionfthat passes through 7 3 and f71 passes through 17 2 Example 4 Find a linear function f that has y intercept 6 and the yintercept forf 391 is 5 Example 5 For the following quadratic function fx 4x2 16x12 Write the equation in standard form State the vertex Sketch the graph of the parabola State the maximum or minimum value of the function 9996 Find the axis of symmetry Example 6 For the following quadratic function fx x2 6x 11 Write the equation in standard form State the vertex Sketch the graph of the parabola State the maximum or minimum value of the function 9996 Find the axis of symmetry

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