Page 568 - Algebra 1

t
0
1
2
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4
h
256
240
192
112
0
Lesson Practice
x
-2
-1
0
1
2
y
Practice
Check Make a table of values. Choose positive values for the number of seconds t.
From the table the range is 0 ≤ h ≤ 256 and the answer was 192 feet, so the answer is reasonable.
Determine whether each function represents a quadratic function.
(Ex 1)
a. 4-y=x-2x2 -3
b. x=-x2 +y c. 4 = y
Use a table of values to graph the function.
(Ex 2)
d. f(x)=4x2 -3
Determine whether the graph of each function opens upward or downward.
(Ex 3)
e. f(x)=2x2 -4 f. f(x)=2x-5x2
g. An acorn falls from a 16-foot-tall oak tree. The equation
(Ex 4) h = -16t2 + 16 can be used to find the height h of the acorn after
falling for t seconds. Find the height of the acorn after falling for 0.5 seconds.
Distributed and Integrated
Determine whether the polynomial is a perfect-square trinomial or a difference of two squares. Then factor the polynomial.
1. q2 +18q+81 (83)
Simplify.
3. √ 12+√ 48-√ 27
(69)
Solve. Graph the solution. 5. 2p + 7 > p - 10
(77)
*2. 36x2 -144 (83)
4. √ 18+√ 32+√ 50 (69)
6. 16 < 2x + 8 OR 15 > 7x + 1 (82)
*7. Rewrite x + 15x2 - y = 4 in the standard form of a quadratic function, if (84) possible.
Lesson 84 553