## 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.