Algebra 1

The basic form of the equation is $y=a(k(x-d))^{2} + c$ The a value in a equation determines the vertical stretch or compression. As the a value increases the graph is vertically stretched and becomes narrower. Given the equation $y= 4x^{2} + 5$ We know that the graph will be stretch when the a the absolute value of a is greater than 4. Thus the a could be greater than 4 or less than -4. Because for example, I-5I = $5\gt4$. Graph B has an a value that is greater than the 4.