4-9 Solve It!
In the Lesson 4-7 Solve It, you put a mouth
on this face. What second quadratic function
would you graph to open the mouth? Show the
completed face. What quadratic statements
could you write to shade the inside of the
mouth? Explain your reasoning.
6
5
4
3
2
1
0
–1
–2
y
x
1 2 3 4 5 6 7 8
4-9 Lesson Quiz
1. Do you UNDERSTAND? How many solutions can a linear-
quadratic system have? Explain what the number of
solutions means about a graph of the system.
y 5 x2 2 6x 1 12
2. Solve and check: e
y5x12
y 5 x2 2 3x 1 6
3. Solve and check: e
y 5 2x2 1 7x 1 6
y . x2 2 x 1 1
4. Solve: e
y , 2x2 1 x 1 5
Answers
Solve It!
y 5 20.25(x 2 4)2 1 2 will
open the mouth. To shade
the inside of the mouth,
write: y $ 0.25(x 2 4)2 and
y # 20.25(x 2 4)2 1 2.
Lesson Quiz
1. Answers may vary. Samples:
There can be 2, 1, or no
solutions. 2 solutions means
the line intersects the
parabola twice; 1 solution
means a line intersects the
parabola once; no solution
means the line never
intersects the parabola.
2. (2, 4) and (5, 7)
3. (0, 6) and (5, 16)
4.
y
x
O
Prentice Hall Algebra 2 • Solve It/Lesson Quiz on Transparencies
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