Pg. 56 Homework Pg. 44 #72 – 74 all #27Graph#29Graph#31Graph #33y = 3(x – 4) 2 #35y = 3x 2 + 4#37No: y - int #39y = -2(x – 4) 2 + 3#54(-3, -10); (-1, 2); (3, 2) #55f(x – 2) = |x – 2|#563f(x) = 3|x| #572f(x + 3) – 1 = 2|x + 3| – 1 #5812ft x 15ft#59x = 3.5 ft#6025ft x 25ft

1.5 Quadratic Functions and Geometric Transformations Let f be the function given by the graph to the left. Determine the point on the graph of y = 3 + 2f(x – 1) corresponding to the following points: – > (-3, f(-3)) – > (0, f(0)) – > (2, f(2)) – > (4, f(4))

1.5 Quadratic Functions and Geometric Transformations Symmetry and Vertex For the graph of the function: – The vertex is: – The line of symmetry is: The Quadratic Formula is: The Discriminant The discriminant tells you how many times the parabola will cross the x – axis. If…

1.5 Quadratic Functions and Geometric Transformations If 200 ft. of fence is used to enclose a rectangular plot of land using an existing wall as one side of the plot, find the dimensions of the rectangle with maximum enclosed area.

1.5 Quadratic Functions and Geometric Transformations A rectangle is 3 ft longer than it is wide. If each side is increased by 1 ft, the area of the new rectangle is 208 sq ft. Find the dimensions of the original rectangle.

1.5 Quadratic Functions and Geometric Transformations A rectangular pool with dimensions 25 by 40 ft is surrounded by a walk with a uniform width. If the area of the walk is 504 sq ft, find the width of the walk.

1.5 Quadratic Functions and Geometric Transformations Sally invests $20,000. She puts part of the money into an account that pays 4% annually, but she can withdraw from it without penalty, and she puts the rest into an account that pays 6% annually. – Write an equation that describes the total interest, I, Sally receives at the end of 1 year in terms of the amount A invested at 6%. – If Sally’s annual interest is $1086, how much of her original $20,000 did she invest at 6%?