Week 11 – Graphing Quadratic Inequalities in Two Variables

This week I learned how to graph quadratic inequalities with two variables.

Here is a common question:

This question asked me to graph the inequality y<-x^{2}+8 and state 3 points that satisfy the inequality. I graphed this inequality by using a to know that the graph opens down and is in the form 1,3,5 and 8 is the y intercept. I tried those three points and they satisfied the equation so I knew to shade in the inside on the graph. I, also knew that it was a dotted line because the inequality is less than < and not less than or equal too.

Week 10 – Midterm Review

This week i reviewed for the midterm.

Here is a common question:

In solving this problem you first need to find “R” by using the formula \frac{t_2}{t_1}. Once you have found “R”, you can input all the values you have into the formula t_{n}=ar^{(n-1)}. Using BEDMAS go step by step to find your answer.

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

This week I learned the equivalent forms of the equation for a quadratic function.

Here is a common question:

This question asked me do each pair of equations represent the same quadratic function. I checked if they were the same by changing the equation in general form to standard form. To change the equation you need to factor by completing the square like we did in the last unit. The equations were then the same, so I knew they represented the same quadratic function.

 

Week 8 – Transforming the graph

This week I learned how to transform the graph of y=x^{2}.

Here is a common question:

This question asked me to graph without using a calculator or table of values. I graphed this by knowing that  x^{2} always creates a parabola and if the coffient of x^{2} is positive it faces up and if it is negative it faces down. Parabolas with a coffiecent of 1 have a congruent shape, with a pattern of 1, 3, 5 so i could plot the points. In the form of y=x^{2}+q q is the y intercept so that is where the vertex is. That information made it so I could graph without a calculator or table of values.