PRECALCULUS QUARTER 1 REVIEWER

Apply the equation of an ellipse to find the coordinates of a point on the ellipse given the values of a, b, h, and k.

• (h + a, k + b)

• (h - a, k + b)

• (h + b, k - a)

• (h - b, k - a)

Which conic section is represented by the equation x^2/9 + y²/16 = 1?

• Parabola

• Circle

• Ellipse

• Hyperbola

Which conic section is formed when a plane intersects a cone parallel to its base?

• Parabola

• Circle

• Ellipse

• Hyperbola

Which of the following best describes an ellipse?

• A closed curve with a center point and a set of points that are equidistant from the center.

• A closed curve with a center point and a set of points that are a fixed distance away from the center.

• A closed curve with two parallel lines as the major and minor axes.

• A closed curve with two foci and a set of points that are equidistant from the foci.

Which conic section has a constant distance from a fixed point called the center to any point on the curve?

• Parabola

• Circle

• Ellipse

• Hyperbola

Calculate the coordinates of the foci of the hyperbola with equation x/9-y/16=1

• (0, -4)

• (3,0)

• (0,4)

• (-3,0)

Apply the equation of a circle to determine the center and radius of the following circle: (x - 2)² + (y + 3)² = 25

• Center: (-2, 3), Radius: 25

• Center: (-2, -3), Radius: 25

• Center: (2, -3), Radius: 5

• Center: (-2,3), Radius: 5

Find the equation of an ellipse with center at the origin, major axis of length 26 units long on the x-axis, and minor axis of length 24 units.

• x²/169 + y²/144 = 1

• x²/169 - y²/144 = 1

• x²/144 + y²/169 = 1

• x²/144 - y²/169 = 1

Which equation represents a circle with a center at (-1, 4) and a radius of 9?

• (x + 1)² + (y - 4)² = 9

• (x + 1)² + (y + 4)² = 9

• (x + 1)² + (y - 4)² = 81

• (x - 1)² + (y - 4)² = 81

Which of the following conic sections is defined as the set of all points in a plane equidistant from a fixed point called the center?

• Parabola

• Circle

• Ellipse

• Hyperbola