Pre-calculus - First Semester (1st Periodical)

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Which of the following equations is in standard form?

$(x + 3)^2 + (y - 5)^2 = 9$
$(x + 2)^2 + (y - 1)^2 = 1$
$(x - 3)^2 + y^2 = 16$ (correct)
$(x - 7)^2 + (y + 1)^2 = 36$

Which of the following equations is in general form?

$x^2 + y^2 + 10x - 2y + 25 = 0$
$(x + 2)^2 + (y - 1)^2 = 1$
$(y - 1)^2 + (x + 5)^2 = 1$
$x^2 + y^2 + 4x - 2y + 4 = 0$ (correct)

What is the equation of the circle that passes through the points A(7, 0), B(3, 4), and C(7, 0)?

$(x - 0)^2 + (y + 3)^2 = 58$ (correct)
$(x + 7)^2 + (y + 3)^2 = 58$
$(x - 7)^2 + (y - 3)^2 = 58$
$(x + 7)^2 + (y - 3)^2 = 58$

What is the height of the tunnel at the edge of each lane in the situational problem?

6.63 feet (A) Signup and view all the answers

What is the radius of the circle in the situational problem involving the ancient wheel?

5.8 (C) Signup and view all the answers

Which of the following equations is in standard form?

$(x - 7)^2 + (y + 1)^2 = 36$ (A) Signup and view all the answers

What is the equation of the circle that passes through the points A(7, 0), B(3, 4), and C(7, 0)?

$(x - 7)^2 + (y - 4)^2 = 36$ (C) Signup and view all the answers

What is the height of the tunnel at the edge of each lane in the situational problem?

6.63 ft (D) Signup and view all the answers

Which of the following equations is in general form?

$(y - 1)^2 + (x + 5)^2 = 1$ (D) Signup and view all the answers

What is the radius of the circle in the situational problem involving the ancient wheel?

58 (A) Signup and view all the answers

Which of the following equations represents a parabola with a vertex at (2, -3) and a focus at (2, -1)?

$x^2 - 4x + 4y + 9 = 0$ (B) Signup and view all the answers

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

$y = 2$ (B) Signup and view all the answers

What is the axis of symmetry of the parabola with equation $y = 2x^2 + 3x - 1$?

$x = -rac{3}{4}$ (C) Signup and view all the answers

Which of the following equations represents a parabola that opens downward?

$y = -x^2 - 4x + 3$ (D) Signup and view all the answers

What is the general form of the equation $x^2 - 4x + 4y + 9 = 0$?

$x^2 - 4x - 4y - 9 = 0$ (A) Signup and view all the answers

Which of the following equations represents a parabola with a vertex at (-2, 5) and a focus at (-2, 7)?

$y = (x + 2)^2 - 5$ (B) Signup and view all the answers

What is the equation of the directrix of the parabola with vertex (4, -3) and focus (4, -1)?

$y = -5$ (B) Signup and view all the answers

What is the equation of the circle that passes through the points A(2, 5), B(6, 1), and C(10, 5)?

$(x - 6)^2 + (y - 5)^2 = 25$ (C) Signup and view all the answers

What is the axis of symmetry of the parabola with equation $y = 3x^2 + 2x - 1$?

$x = -2$ (B) Signup and view all the answers

What is the general form of the equation $(x - 2)^2 + (y + 3)^2 = 16$?

$x^2 + y^2 + 4x - 6y + 5 = 0$ (A) Signup and view all the answers

Which of the following is the standard equation of a parabola with vertex at (2, -3) and focus at (2, -1)?

$y = 2(x - 2)^2 - 3$ (C) Signup and view all the answers

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

$y = -1$ (D) Signup and view all the answers

Which of the following equations represents a parabola that opens downward?

$y = -2x^2 + 3x - 1$ (B) Signup and view all the answers

What is the general form of the equation $(x - 2)^2 + (y + 3)^2 = 16$?

$x^2 + y^2 - 4x + 6y + 13 = 0$ (D) Signup and view all the answers

What is the height of the tunnel at the edge of each lane in the situational problem?

0.9 ft (C) Signup and view all the answers

Which of the following is the standard form equation of an ellipse with a major axis along the x-axis and center at (3, 4)?

$(x - 3)^2/16 + (y - 4)^2/9 = 1$ (A) Signup and view all the answers

Which of the following is the equation of the directrix of the ellipse with the equation $(x - 2)^2/9 + (y + 1)^2/16 = 1$?

$y = -2$ (D) Signup and view all the answers

What are the coordinates of the foci of the ellipse with the equation $9(x - 3)^2 + 16(y + 2)^2 = 144$?

(3, -2) and (3, 2) (C) Signup and view all the answers

Which of the following is the standard form equation of an ellipse with a major axis along the y-axis and center at (-4, 5)?

$(x + 4)^2/9 + (y - 5)^2/16 = 1$ (C) Signup and view all the answers

What are the coordinates of the vertices of the ellipse with the equation $16(x + 1)^2 + 9(y - 2)^2 = 144$?

(-2, 2) and (-2, 4) (C) Signup and view all the answers

Which of the following is the standard form equation of an ellipse with a major axis along the x-axis and center at (2, -3)?

$(x - 2)^2 + (y + 3)^2 = 16$ (D) Signup and view all the answers

Which of the following equations represents an ellipse with a major axis along the y-axis and center at (-4, 5)?

$(x + 4)^2/9 + (y - 5)^2/16 = 1$ (C) Signup and view all the answers

What are the coordinates of the foci of the ellipse with the equation $9(x - 3)^2 + 16(y + 2)^2 = 144$?

(3, -2) and (3, 2) (B) Signup and view all the answers

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

$y = -3$ (C) Signup and view all the answers

What is the height of the tunnel at the edge of each lane in the situational problem?

14 ft (B) Signup and view all the answers

Which of the following equations represents an ellipse with a major axis along the y-axis and center at (-4, 5)?

$4(x+4)^2 + 9(y-5)^2 = 36$ (D) Signup and view all the answers

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

$y = -1$ (B) Signup and view all the answers

What is the general form of the equation $x^2 - 4x + 4y + 9 = 0$?

$x^2 + 4x - 4y + 9 = 0$ (B) Signup and view all the answers

What is the height of the tunnel at the edge of each lane in the situational problem?

14 ft (A) Signup and view all the answers

What are the coordinates of the foci of the ellipse with the equation $9(x - 3)^2 + 16(y + 2)^2 = 144$?

(3, -4) and (3, 4) (B) Signup and view all the answers

Pre-calculus - First Semester (1st Periodical)

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Questions and Answers

Which of the following equations is in standard form?

Which of the following equations is in general form?

What is the equation of the circle that passes through the points A(7, 0), B(3, 4), and C(7, 0)?

What is the height of the tunnel at the edge of each lane in the situational problem?

What is the radius of the circle in the situational problem involving the ancient wheel?

Which of the following equations is in standard form?

What is the equation of the circle that passes through the points A(7, 0), B(3, 4), and C(7, 0)?

What is the height of the tunnel at the edge of each lane in the situational problem?

Which of the following equations is in general form?

What is the radius of the circle in the situational problem involving the ancient wheel?

Which of the following equations represents a parabola with a vertex at (2, -3) and a focus at (2, -1)?

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

What is the axis of symmetry of the parabola with equation $y = 2x^2 + 3x - 1$?

Which of the following equations represents a parabola that opens downward?

What is the general form of the equation $x^2 - 4x + 4y + 9 = 0$?

Which of the following equations represents a parabola with a vertex at (-2, 5) and a focus at (-2, 7)?

What is the equation of the directrix of the parabola with vertex (4, -3) and focus (4, -1)?

What is the equation of the circle that passes through the points A(2, 5), B(6, 1), and C(10, 5)?

What is the axis of symmetry of the parabola with equation $y = 3x^2 + 2x - 1$?

What is the general form of the equation $(x - 2)^2 + (y + 3)^2 = 16$?

Which of the following is the standard equation of a parabola with vertex at (2, -3) and focus at (2, -1)?

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

Which of the following equations represents a parabola that opens downward?

What is the general form of the equation $(x - 2)^2 + (y + 3)^2 = 16$?

What is the height of the tunnel at the edge of each lane in the situational problem?

Which of the following is the standard form equation of an ellipse with a major axis along the x-axis and center at (3, 4)?

Which of the following is the equation of the directrix of the ellipse with the equation $(x - 2)^2/9 + (y + 1)^2/16 = 1$?

What are the coordinates of the foci of the ellipse with the equation $9(x - 3)^2 + 16(y + 2)^2 = 144$?

Which of the following is the standard form equation of an ellipse with a major axis along the y-axis and center at (-4, 5)?

What are the coordinates of the vertices of the ellipse with the equation $16(x + 1)^2 + 9(y - 2)^2 = 144$?

Which of the following is the standard form equation of an ellipse with a major axis along the x-axis and center at (2, -3)?

Which of the following equations represents an ellipse with a major axis along the y-axis and center at (-4, 5)?

What are the coordinates of the foci of the ellipse with the equation $9(x - 3)^2 + 16(y + 2)^2 = 144$?

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

What is the height of the tunnel at the edge of each lane in the situational problem?

Which of the following equations represents an ellipse with a major axis along the y-axis and center at (-4, 5)?

What is the equation of the directrix of the parabola with vertex (3, -2) and focus (3, 0)?

What is the general form of the equation $x^2 - 4x + 4y + 9 = 0$?

What is the height of the tunnel at the edge of each lane in the situational problem?

What are the coordinates of the foci of the ellipse with the equation $9(x - 3)^2 + 16(y + 2)^2 = 144$?

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