Sarah's Blog

Week 11 – Graphing Linear Inequalities in Two Variables

To graph a linear inequality in two variables, identify the slope and the y-intercept by making it into the form of y = mx + b. For example:  -5 < 2x – y Change it so y is alone on one side —> y < 2x + 5 The slope is 2 and the y-intercept is…

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Week 10 – Factoring Polynomials Review

Factoring is writing an expression as a product of factors. Common? Difference of squares Pattern Easy Ugly ex. Factor x2 – 6x -16 Find two numbers whose product is -16 and whose sum is -6: 2 and -8. So, (x + 2) (x – 8)   ex. Factor 3y(y + 2) – 9 (y +…

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Week 9 – Equivalent Forms of the Equation of a Quadratic Formula

An equation in general form, y = ax2 + bx + c, can be written in standard form, y = a(x – p)2 + q. We convert general form to standard form to find out more characteristics of the graph. This can be done by completing the square. To convert from standard from to general form we expand the equation. General…

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Blog Log 2 – A Thin Line Between Mother and Daughter

https://www.salon.com/1997/11/14/cov_14feature_3/ This article is about body image and how attitudes to the body are passed down through generations. It immediately caught my eye because body image is a very concerning problem in today’s society. I was compelled to this article specifically because it talks about eating disorders and how people are influenced by others. I liked…

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Week 8 – Properties Of a Quadratic Function

A quadratic function is any function that can be written in the form y = ax2+bx+c. This is called the general form of the equation of a quadratic function. The graph of every quadratic function is a parabola. The vertex of a parabola is its highest or lowest point. The vertex may be a minimum point or…

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Week 7 – Interpreting The Discriminant

The expression, b2  – 4ac, is called the discriminant of the quadratic equation. The discriminant tells us how many solutions an equation has. The quadratic equation ax2 + bx + c = 0 has: two real roots when  b2  – 4ac > 0 ex. x2 – 6x + 5 = 0 (-62 ) – 4(1)(5) 36 – 20…

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