Download Quadratic Functions and Equations Unit Test Multiple Choice 1

Quadratic Functions and Equations Unit Test
Multiple Choice
1. Graph the function. How is the graph a translation of f(x) = x² ?
y = (x – 1)² (1 point)
f(x)
translated to the left 1 unit(s)
f(x)
translated down 1 unit(s)
f(x)
translated up 1 unit(s)
f(x)
translated to the right 1 unit(s)
2. What is the graph of the equation?
y = –2x2 + 2x – 3 (1 point)
3. What is the equation, in standard form, of a parabola that contains the
following points?
(–2, –22.5), (0, –1.5), (4, –67.5) (1 point)
y = 4.5x2 – 1.5x + 1.5
y = 1.5x2 – 4.5x – 1.5
y = -4.5x2 + 1.5x – 1.5
y = 1.5x2 + 1.5x + 4.5
4. A historian took a count of the number of people in a gold rush town
for six years in the 1870s.
Find a quadratic function that models the data as a function of x, the
number of years since 1870. Use the model to estimate the number of
people in the town in 1878. (1 point)
P(x) = –6x2 + 25x + 475; 291 people
P(x) = –6x2 + 25x + 475; 356 people
P(x) = –2x2 – 25x + 425; 152 people
P(x) = –2x2 – 25x + 425; 97 people
5. Solve by using tables. Give each answer to at most two decimal
places.
7x2 + 5x – 3 = 0 (1 point)
0.39, –1.1
1.1, –0.39
0.78, –2.21
0.75, –0.75
6. Solve by graphing.
5x2 + 20x + 15 = 0 (1 point)
–3, –1
0, –3
0, 3
–3, –1
7. The lengths of the sides of a rectangular window have the ratio 1.6 to
1. The area of the window is 2,560 square inches. What are the
dimensions of the window? (1 point)
50.6 inches by 50.6 inches
40 inches by 64 inches
40 inches by 80 inches
40 inches by 102.4 inches
8. What is the number of real solutions?
6x2 – 7x – 1 = 0 (1 point)
two solutions
cannot be determined
one solution
no real solutions
9. What is the absolute value of the number?
3 + i (1 point)
4
8
10. Use graphing to find the solutions to the system of equations.
(1 point)
(–2, –4)
(3, 1)
(2, 4)
(–3, –1)
(–2, 4)
(3, –1)
(2, –4)
(–3, 1)
11. What is the solution of the system of inequalities?
(1 point)
21. Any number in the form of a bi , where a and b are real numbers
and b 0 is considered a pure imaginary number. (1 point)
true
false
22. The minimum value is the smallest y-value of a function. (1 point)
true
false
23. i2 =
(1 point)
true
false
24. Complex numbers can be graphed on the xy coordinate plane.
(1 point)
true
false