Police Brutality
A solid metal is dropped from the height of 64 feet. How long will it take for the solid metal to hit the ground? Ignore the air resistance. | Correct Answer: The solid metal will hit the ground in about 2 seconds. |
Which of the following functions shows the graph below? | f(x) = x2 + 2x |
Find the quadratic equation whose roots are 1/2 and 6. | 2x2 - 13x + 6 = 0 |
The curve y = -2x2 is shifted so that its axis of symmetry is the line x = -2 and its orthogonal axis is y = 8. Find the equation of the new curve. | Correct Answer: Answer: y = - 2(x + 2)2 + 8 The new curve is symmetric about x = -2 and is shifted up by 8 units.
So the equation of the new curve is y = - 2(x + 2)2 + 8 |
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 10 meters. Find the distance from the wall to the bottom of the ladder if the length of the ladder is two feet more than its distance from the wall. | 24 |
Solve 3x2 + 6x +3 = 0 using quadratic formula. | x = -1, -1 |
Solve: 2x2 - 13x + 15 = 0 | Correct Answer: x = 3/2 , x = 5 |
Find the quadratic equation whose roots are 1/2 and 6. | 2x2 - 13x + 6 = 0 |
Find a quadratic equation whose roots are √4 and -√4. | x2 - 4 = 0 |
Solve x2 - 3x + 2 = 0. Compare the solution of the given quadratic equation with the zeros and the x-intercepts of the function f(x) = x2 - 3x + 2. | The zeros, x-intercepts, and solution of the given equation are the same. |
Find a quadratic equation whose roots are 3/2 and 5/2. | Correct Answer: Answer: 4x2 - 16x + 15 = 0 It is given that the roots of the equation are 3/2and 5/2. |
Find the two positive consecutive odd integers whose product is 63. | 7 and 9 | Find a quadratic equation whose roots are 1/2 and 3/2. | 4x2 - 8x + 3 = 0 |
If the quadratic equation y = x2 is shifted so that its axis of symmetry is at x = 2, find the equation of the new curve. | y = (x - 2)2
Which of the following functions shows the graph below? | f(x) = x2 + 2x |
Find the quadratic equation whose roots are 1/2 and 6. | 2x2 - 13x + 6 = 0 |
The curve y = -2x2 is shifted so that its axis of symmetry is the line x = -2 and its orthogonal axis is y = 8. Find the equation of the new curve. | Correct Answer: Answer: y = - 2(x + 2)2 + 8 The new curve is symmetric about x = -2 and is shifted up by 8 units.
So the equation of the new curve is y = - 2(x + 2)2 + 8 |
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 10 meters. Find the distance from the wall to the bottom of the ladder if the length of the ladder is two feet more than its distance from the wall. | 24 |
Solve 3x2 + 6x +3 = 0 using quadratic formula. | x = -1, -1 |
Solve: 2x2 - 13x + 15 = 0 | Correct Answer: x = 3/2 , x = 5 |
Find the quadratic equation whose roots are 1/2 and 6. | 2x2 - 13x + 6 = 0 |
Find a quadratic equation whose roots are √4 and -√4. | x2 - 4 = 0 |
Solve x2 - 3x + 2 = 0. Compare the solution of the given quadratic equation with the zeros and the x-intercepts of the function f(x) = x2 - 3x + 2. | The zeros, x-intercepts, and solution of the given equation are the same. |
Find a quadratic equation whose roots are 3/2 and 5/2. | Correct Answer: Answer: 4x2 - 16x + 15 = 0 It is given that the roots of the equation are 3/2and 5/2. |
Find the two positive consecutive odd integers whose product is 63. | 7 and 9 | Find a quadratic equation whose roots are 1/2 and 3/2. | 4x2 - 8x + 3 = 0 |
If the quadratic equation y = x2 is shifted so that its axis of symmetry is at x = 2, find the equation of the new curve. | y = (x - 2)2