Question 1

A projectile is at a height  centimeters at time t = 0 seconds. Find the height at time t = 5 sec.

Accepted Answer

The answer of A projectile is at a height ...

Question 2

A projectile is at a height  feet at time t = 0 seconds. At what time does the projectile reach the ground?

Accepted Answer

The answer of A projectile is at a height ...

Question 3

Find the focus of a parabola represented by the equation  with vertex at (-1, -4).

Accepted Answer

The answer of Find the focus of a parabola represented...

Question 4

Find values for A and B using what you know about completing the square.

Accepted Answer

The answer of Find values for A and B using...

Question 5

Find the vertex of the parabola

Accepted Answer

The answer of Find the vertex of the parabola ...

Question 6

Find the coordinates of the vertex of the parabola given by .  Give your answer as a reduced fraction or whole number.

Accepted Answer

The answer of Find the coordinates of the vertex of...

Question 7

The equation d = 16t² + 12t describes the relationship between distance fallen, d, in ft, and time, t, in seconds, for a free falling object. What is the acceleration of gravity on the object?

Accepted Answer

The answer of The equation d = 16t² + 12t...

Question 8

Select the choice which best describes the graph of .

Accepted Answer

A)  It is the graph of  shifted 12 units up. 
B)  It is the graph of  vertically stretched by a factor of 12. 
C)  It is the graph of  shifted 12 units to the left. 
D)  It is the graph of  shifted 12 units down.

Question 9

Transform the function  into a new function  by compressing  by a factor of 0.2, reflecting across the x-axis, and then shifting the result down 3 units. Find the equation of

Accepted Answer

The answer of Transform the function  into a new...

Question 10

The antenna is placed at the focus of a satellite dish. If the satellite has a 6-inch diameter and is 0.54 inches deep, how many inches from the vertex of the satellite dish should the antenna be placed? 
Round your answer to 2 decimal places, if necessary.

Accepted Answer

The answer of The antenna is placed at the focus...

Question 11

For the quadratic function pictured determine the equation of the axis of symmetry.

Accepted Answer

The answer of For the quadratic function pictured determine the...

Question 12

Find any solutions to the equation Write your answer as r₁, r₂, with r₁2. For complex answers enter .

Accepted Answer

The answer of Find any solutions to the equation ...

Question 13

Find the x-coordinate of the vertex of the parabola given by .  Give your answer as a reduced fraction or whole number.

Accepted Answer

The answer of Find the x-coordinate of the vertex of...

Question 14

A rancher has 2,800 feet of fencing. He wants to use all 2,800 feet to construct a rectangle with 2 interior separators that together form 3 rectangular pens. What are the dimension of the larger rectangle that give the maximum area? (Give both the length (L) and width (W).)

Accepted Answer

The answer of A rancher has 2,800 feet of fencing....

Question 15

The equation d = 490t² + 26t describes the relationship between distance fallen, d, in cm, and time, t, in seconds, for a free falling object. What is the distance fallen by the object at time t = 6 sec?

Accepted Answer

The answer of The equation d = 490t² + 26t...

Question 16

Write the function in factored form, . Write the values for r₁ and r₂ in ascending order (r₁2.) For complex answers enter .

Accepted Answer

The answer of Write the function  in factored form,...

Question 17

A free falling body has an initial velocity of 926 cm/sec. Find the velocity of the object at time t = 5 seconds. Assume that g = 980 cm/sec².

Accepted Answer

The answer of A free falling body has an initial...

Question 18

After 2 seconds, a falling object has a velocity of 26.6 m/sec. Find the velocity of the object at time t = 8 seconds. Assume that g = 9.8 m/sec².

Accepted Answer

The answer of After 2 seconds, a falling object has...

Question 19

Find the average rate of change of the function  over the interval

Accepted Answer

The answer of Find the average rate of change of...

Question 20

Find values for A and B using what you know about completing the square. \

Accepted Answer

The answer of Find values for A and B using...

Exam 8: Quadratics and the Mathematics of Motion

A projectile is at a height centimeters at time t = 0 seconds. Find the height at time t = 5 sec.

A projectile is at a height feet at time t = 0 seconds. At what time does the projectile reach the ground?

Find the focus of a parabola represented by the equation with vertex at (-1, -4).

Find values for A and B using what you know about completing the square.

Find the vertex of the parabola

Find the coordinates of the vertex of the parabola given by . $Find the coordinates of the vertex of the parabola given by . Give your answer as a reduced fraction or whole number.$ Give your answer as a reduced fraction or whole number.

The equation d = 16t² + 12t describes the relationship between distance fallen, d, in ft, and time, t, in seconds, for a free falling object. What is the acceleration of gravity on the object?

Select the choice which best describes the graph of .

Transform the function into a new function by compressing by a factor of 0.2, reflecting across the x-axis, and then shifting the result down 3 units. Find the equation of

The antenna is placed at the focus of a satellite dish. If the satellite has a 6-inch diameter and is 0.54 inches deep, how many inches from the vertex of the satellite dish should the antenna be placed? Round your answer to 2 decimal places, if necessary.

For the quadratic function pictured determine the equation of the axis of symmetry.

Find any solutions to the equation Write your answer as r₁, r₂, with r₁2. For complex answers enter .

Find the x-coordinate of the vertex of the parabola given by . $Find the x-coordinate of the vertex of the parabola given by . Give your answer as a reduced fraction or whole number.$ Give your answer as a reduced fraction or whole number.

A rancher has 2,800 feet of fencing. He wants to use all 2,800 feet to construct a rectangle with 2 interior separators that together form 3 rectangular pens. What are the dimension of the larger rectangle that give the maximum area? (Give both the length (L) and width (W).)

The equation d = 490t² + 26t describes the relationship between distance fallen, d, in cm, and time, t, in seconds, for a free falling object. What is the distance fallen by the object at time t = 6 sec?

Write the function in factored form, . Write the values for r₁ and r₂ in ascending order (r₁2.) For complex answers enter .

A free falling body has an initial velocity of 926 cm/sec. Find the velocity of the object at time t = 5 seconds. Assume that g = 980 cm/sec².

After 2 seconds, a falling object has a velocity of 26.6 m/sec. Find the velocity of the object at time t = 8 seconds. Assume that g = 9.8 m/sec².

Find the average rate of change of the function over the interval

Find values for A and B using what you know about completing the square. \ $Find values for A and B using what you know about completing the square. \$

Exam 8: Quadratics and the Mathematics of Motion

A projectile is at a height centimeters at time t = 0 seconds. Find the height at time t = 5 sec.

A projectile is at a height feet at time t = 0 seconds. At what time does the projectile reach the ground?

Find the focus of a parabola represented by the equation with vertex at (-1, -4).

Find values for A and B using what you know about completing the square.

Find the vertex of the parabola

Find the coordinates of the vertex of the parabola given by . Give your answer as a reduced fraction or whole number.

The equation d = 16t2 + 12t describes the relationship between distance fallen, d, in ft, and time, t, in seconds, for a free falling object. What is the acceleration of gravity on the object?

Select the choice which best describes the graph of .

Transform the function into a new function by compressing by a factor of 0.2, reflecting across the x-axis, and then shifting the result down 3 units. Find the equation of

The antenna is placed at the focus of a satellite dish. If the satellite has a 6-inch diameter and is 0.54 inches deep, how many inches from the vertex of the satellite dish should the antenna be placed? Round your answer to 2 decimal places, if necessary.

For the quadratic function pictured determine the equation of the axis of symmetry.

Find any solutions to the equation Write your answer as r1, r2, with r12. For complex answers enter .

Find the x-coordinate of the vertex of the parabola given by . Give your answer as a reduced fraction or whole number.

A rancher has 2,800 feet of fencing. He wants to use all 2,800 feet to construct a rectangle with 2 interior separators that together form 3 rectangular pens. What are the dimension of the larger rectangle that give the maximum area? (Give both the length (L) and width (W).)

The equation d = 490t2 + 26t describes the relationship between distance fallen, d, in cm, and time, t, in seconds, for a free falling object. What is the distance fallen by the object at time t = 6 sec?

Write the function in factored form, . Write the values for r1 and r2 in ascending order (r12.) For complex answers enter .

A free falling body has an initial velocity of 926 cm/sec. Find the velocity of the object at time t = 5 seconds. Assume that g = 980 cm/sec2.

After 2 seconds, a falling object has a velocity of 26.6 m/sec. Find the velocity of the object at time t = 8 seconds. Assume that g = 9.8 m/sec2.

Find the average rate of change of the function over the interval

Find values for A and B using what you know about completing the square. \

Find the coordinates of the vertex of the parabola given by . $Find the coordinates of the vertex of the parabola given by . Give your answer as a reduced fraction or whole number.$ Give your answer as a reduced fraction or whole number.

The equation d = 16t² + 12t describes the relationship between distance fallen, d, in ft, and time, t, in seconds, for a free falling object. What is the acceleration of gravity on the object?

Find any solutions to the equation Write your answer as r₁, r₂, with r₁2. For complex answers enter .

Find the x-coordinate of the vertex of the parabola given by . $Find the x-coordinate of the vertex of the parabola given by . Give your answer as a reduced fraction or whole number.$ Give your answer as a reduced fraction or whole number.

The equation d = 490t² + 26t describes the relationship between distance fallen, d, in cm, and time, t, in seconds, for a free falling object. What is the distance fallen by the object at time t = 6 sec?

Write the function in factored form, . Write the values for r₁ and r₂ in ascending order (r₁2.) For complex answers enter .

A free falling body has an initial velocity of 926 cm/sec. Find the velocity of the object at time t = 5 seconds. Assume that g = 980 cm/sec².

After 2 seconds, a falling object has a velocity of 26.6 m/sec. Find the velocity of the object at time t = 8 seconds. Assume that g = 9.8 m/sec².

Find values for A and B using what you know about completing the square. \ $Find values for A and B using what you know about completing the square. \$