Page 412 - Algebra 1

5. Predict Will the graph of f(x) = _2 x be steeper than the graph of the 3
parent function? Explain.
A reflection produces a mirror image across a line. A reflection can be thought of as a flip.
Math Reasoning
Analyze Describe how the value of m affects the steepness of the line.
x
O
-2
-4
4
y
y
4
f(x) = _1 2
f ( x ) = - _1 x
x
2
-4
-2
2
2
4
6. Graph f(x) = 4x and f(x) = -4x on the same coordinate plane.
7. Generalize Discuss how the slope of a line is related to the reflection
of a line.
Some functions involve more than one transformation of the parent function.
f(x) = x
2
f ( x ) = _1 x 2
x
O
-4
-2
2
4
8. Graph f(x) = x and f(x) = 3x + 2 on the same coordinate plane.
9. Write Describe the transformations from the graph of f(x) = x to the
graph of f(x) = 3x + 2.
Investigation Practice
Graph each function on a coordinate plane with the parent function f(x) = x. Then describe the transformation.
a. f(x)=x+4 b. f(x)=-x
c. f(x)=_1x 2
d. f(x)=4x-2
-2
f
( x ) = _1 x - 4 2
Investigation 6 397