AnswersApplications and ModelingParabolas

Parabolas Answers

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1
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Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Question illustration
A
(0.5, -5.75)
B
(-0.5, 5.75)
C
(-0.5, 6)
D
(0.5, 5.75)
2
Free Preview

Find the vertex of the parabola.

Question illustration
A
( -3, 1)
B
( -3, -1)
C
( 3, 1)
D
( -1, -3)
3

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

Question illustration
A
D: R: all real numbers
B
D: all real numbers R:
C
D: R:
D
D: all real numbers R:
4

Find the vertex of the parabola.

Question illustration
A
( 3, 0)
B
( 3, 4)
C
( 4, 0)
D
( 4, 3)
5

When the function is given in vertex form , how is the vertex found? a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
6

Find the domain and range of the function below. y = 3x2 - 6x + 5

A
D: all real numbers R: (y ≥ 2)
B
D: all real numbersR: (y ≤ 2)
C
D: (x ≥ 2)R: all real numbers
D
D: all real numbers R: all real numbers
7

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

Question illustration
A
D: all real numbers R: (y 8.75)
B
D: (x 0) R: (y 0)
C
D: all real numbers R: (y 8.75)
D
D: all real numbers R: (y -8.75)
8

From the equation, find the axis of symmetry of the parabola. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Question illustration
A
(-1, -10)
B
(-1, -9)
C
(1, 10)
D
(1, -10)
10

From the equation, find the axis of symmetry of the parabola. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
11

From the equation, find the axis of symmetry of the parabola. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
12

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Question illustration
A
( 0.25, 6.125)
B
( 0.25, 5.875)
C
(-0.25, 5.875)
D
( 0.25, 6)
13

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

Question illustration
A
D: all real numbers R:
B
D: all real numbers R: all real numbers
C
D: all real numbers R:
D
D: all real numbers R:
14

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

Question illustration
A
D: all real numbers R: (y 8.75)
B
D: (x 0) R: (y 0)
C
D: all real numbers R: (y 8.75)
D
D: all real numbers R: (y -8.75)
15

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

Question illustration
A
D: R: all real numbers
B
D: all real numbers R:
C
D: R:
D
D: all real numbers R:
16

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Question illustration
A
( 1.75, -2.125)
B
( 1.75, 4)
C
( 1.75, 10.125)
D
( -1.75, 10.125)
17

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Question illustration
A
( 2, 6.8)
B
( -0.4, 6.8)
C
( 0.4, 6.8)
D
( -0.4, 5.2)
18

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Question illustration
A
(-0.5, -4)
B
(0.5, -4.25)
C
(-0.5, -4.25)
D
(0.5, -3.75)
19

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Question illustration
A
(0.5, -5.75)
B
(-0.5, 5.75)
C
(-0.5, 6)
D
(0.5, 5.75)
20

The vertex of a parabola is at (-2,4), and the x-intercepts are at -6 and 2. Determine the domain and range of the function.

A
D: all real numbers R: all real numbers
B
D: -6 ≤ x ≤ 2 R: y ≤ 4
C
D: all real numbers R: y ≤ 4
D
D: x ≤ 4 R: all real numbers

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