3-12. Iff(X)=3X 9 Andg(X)= X2, Determine

Name: ______Date: ______

HW IM3 3.1.1 Block: ____

3-10.Solve (x– 2)2– 3 = 1 graphically.Then use algebraic strategies to solve the equation and verify that your graphical solutions are correct.

3-12. Iff(x)=3x–9 andg(x)=–x2, determine:

a. f(–2) b. g(–2) c. xiff(x)=0 d. g(m)

3-13. For each quadratic function below use the method of completing the square or averaging thexintercepts to rewrite the equation in graphing form. Then, state the line of symmetry and give the vertex of each parabola. Try to use each method at least once.

3-14.Determine if the function shown on the graph below is odd, even, or neither. Explain how you decided.

3-15. Write a possible equation for each graph.

a. b. c.

3-16. For each of the functions in problem 3-15, sketch the graph ofy=f(–x).

a. b. c.

3-17.Use the structure of each equation to rewrite it, as Graciela did in problem 3-6. Then solve one of the three equations completely, showing your work.

1. 

2. 

3. 

3-18.What are the center and radius of each circle? Rewrite the equations if necessary.

a. (y– 7)2= 25 – (x– 3)2 b. x2+y2+ 10y= –9

c. x2+y2+ 18x– 8y+ 47 = 0 d. y2+ (x– 3)2= 1

3-20.Sketch and completely describe the graph ofy= (x+ 2)3+ 4.

3-21.Write equations that will shift the graph ofy= 3xas described below.

1.  Down 4 units

2.  Right 7 units

3-22.The graph of a line and an exponential function can intersect twice, once, or not at all. Describe the possible number of intersections for each of the following pairs of graphs. Your solution to each part should include sketches of all the possibilities.

a. A line and a parabola

b. Two different parabolas

c. A parabola and a circle

d. A parabola and the hyperbolay=

3-23.LIAR, LIAR, PANTS...

A random sample of 11 designer men’s pants and jeans were selected from a department store. The marked size of the waist and the actual (measured) size of the waistbands were recorded (inches) and the difference in the measurements was computed.

a. Create a graphical representation of the data represented in the "difference" column.

b. Describe the center, shape, spread, and outliers of the distribution.

c. What likely conclusions can you draw from this data?