Page 692 - Algebra 1

9. Predict How will the graph of f(x) = x2 + 7 compare to the graph of the quadratic parent function?
Combinations of Parameter Changes
Predict How will each graph compare to the graph of the quadratic parent function? Verify your answer with a graphing calculator.
10. f(x) = -x2 + 2 1 1 . f ( x ) = _1 x 2 - 3
2
Describe how the graph for the given values of a and c changes in relation to the graph of the quadratic parent function. Verify your answer with a graphing calculator.
a. f(x) = ax2 + c for a = 2 and c = 1
b. f(x) = ax2 + c for a = -3 and c = -2
c. f(x)=ax2 +cfora=_1 andc=2 2
d. f(x)=ax2 +cfora=-_1 andc=-1 2
Write an equation for the transformation described. Then graph the original function and the graph of the transformation on the same set of axes.
e. Shiftf(x)=2x2 -4up2units.
f. Shift f(x) = 3x2 + 5 down 4 units and open it downward.
Investigation Practice
Investigation 10 677