Describe transformations of y=x2 to obtain quadratic graphs. Sketch graphs by hand for: a) y=−4(x−5)2+3 b) y=2(x+1)2−8 c) y=32(x+2)2+1 d) y=−21(x−1)2−5 e) y=−(x−3)2+2 f) y=2(x+1)2+4
A tree demonstrates the Fibonacci sequence in the number of its branches. If the latest level has 13 branches, find the number of branches on the next two levels. Fn+1=Fn+Fn−1, where Fn is the Fibonacci number.
Miss Jones wants to buy at least 10 books. Paperback costs $10, hardcover costs $20. She plans to spend less than $240. Find the system of inequalities and a solution.
Write the equation for a square root function that has been vertically stretched by 2, vertically reflected, horizontally reflected and stretched by 31, and translated 2 units down.
Investigate the relationship between x-intercepts, real zeros, and real solutions of the polynomial function P(x)=x3−2x2−5x+6. The x-intercepts are −2,1,3, the real solutions are −2,1,3, and the zeros are −2,1,3.