If is shifted so that its vertex is at the origin, which of the following transformations describes this shift?

Ll CSET 110 - Quadratics Domain Mc | Attempts: 187

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| By Justin Gillette

Justin Gillette

Community Contributor

Quizzes Created: 2 | Total Attempts: 331

Questions: 8 | Attempts: 187 | Updated: Mar 21, 2023

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Ll CSET 110 - Quadratics Domain Mc - Quiz

Quadratics for your enjoyment!

Questions and Answers

1.

The above parabola is the graph of . Which of the following must be true?
- A.
- B.
- C.
- D.
Correct Answer
C.
2.

If , in order for there to be at least one real solution to x, which of the following must be true?
- A.
- B.
- C.
- D.
Correct Answer
D.
3.

Which of the following must be true for there to be no real solution to the equation
- A.
- B.
- C.
- D.
  
  There are no real values for so that no real solution exists.
Correct Answer
D. There are no real values for so that no real solution exists.
4.

Which of the following must be true for there to be no real solution to the equation ?
- A.
- B.
- C.
- D.
  
  There are no real values for so that no real solution exists.
Correct Answer
C.
5.

The graph of is shifted three units to the right and two units down. If g(x) is the shifted graph of f(x), which of the following is equivalent to g(x) ?
- A.
- B.
- C.
- D.
Correct Answer
B.
6.

If is shifted so that its vertex is at the origin, which of the following transformations describes this shift?
- A.
  
  3 right and 2 down
- B.
  
  3 right and 2 up
- C.
  
  3 left and 2 down
- D.
  
  3 left and 2 up
Correct Answer
D. 3 left and 2 up
7.

The graph of is shifted 2 units left and 1 unit up. What are the roots of the shifted function?
- A.
- B.
- C.
- D.
Correct Answer
C.
8.

A rectangular garden 24 ft by 50 ft is enclosed by a fence. If a path of uniform width, x feet, is built inside the fence and a rectangular plot of grass with area of 400 square ft is left in the middle of the garden. Which of the following statements can be used to solve for the width, x, of the path?
- A.
- B.
- C.
- D.
Correct Answer
A.

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Apr 08, 2014

Quiz Created by
Justin Gillette

Ll CSET 110 - Quadratics Domain Mc

The above parabola is the graph of . Which of the following must be true?

If , in order for there to be at least one real solution to x, which of the following must be true?

Which of the following must be true for there to be no real solution to the equation

Which of the following must be true for there to be no real solution to the equation ?

The graph of is shifted three units to the right and two units down. If g(x) is the shifted graph of f(x), which of the following is equivalent to g(x) ?

If is shifted so that its vertex is at the origin, which of the following transformations describes this shift?

The graph of is shifted 2 units left and 1 unit up. What are the roots of the shifted function?