0 Challenge 26. Reasoning Write a quadratic function y = ax2 + bx + c whose graph passes
through the points (0, 7), (2,13), and (4, 35).- Reasoning The diagram at the right shows the differences
for the cubic function f(x) = x3 - 2x + 5 for the x-values 0,
1, 2,3, 4, and 5.
a. Write the second and third differences in the
appropriate locations in the diagram.
b. What do you predict the third difference would be if/(6)
were added to the diagram?
c. Do you think that the third differences will be constant for
other cubic functions? Explain why or why not.
f(4) f(5)
61 120^SAT/ACTSt a n d a r d i ze d Test Pr ep
- The graph at the right shows the number y of visitors to a museum over
x days. Which function models the number of visitors?
CD y= -i00x + 900 CD y=-ioox + 800
GD y = 900(0.875)* CD y = ~50x2 - 400x + 1300 - Which expression is equivalent to (4X 3 + 2x2 + 1) + (3x2 + 8x + 2)?
CD 7x2 + lOx + 3 CD 7X3 + 10x2 + 3x CD 4X3 + 5x2 + 3
AShort. R e s p o n s e
-jr
Ss 8 0 0t/T
V.
I 4000- Which line passes through the point (1,3) and is parallel to the line graphed at
the right?
CD y = 2x + 1 CD y = 2x - 5
CD y = 2x + 3 CD y = _ 5x + 8
31. What are the factors of 10x2 — x — 2? Show your work.0 1 2 3 4
Day, xCD 4x3 + 5x2 + 8x + 36'/ff
-4 4 0
XMixed Review
Use the quadratic formula to solve each equation. If necessary, round to the
nearest hundredth.- 4x2 + 4x — 3 = 0 33. x2 + 2x - 7 = 0
See Lesson 9-6.- 3x2 — 8x = — 1
Get Read y! To p r e p a r e f o r Lesso n 9 - 8 , d o Ex er ci ses 3 5 - 3 7.
Solve by elimination.- x + y= 10
x — y = 2
36. 5x - 6y = -3 2
3x + 6y = 48
See Lesson 6-3.- —2x + 15y = —32
7x — 5y = 17
594 Chapter 9 Quadratic Functions and Equations