Quadratic Equations Directrix and Focus

Write the equation and graph the parabola from the following information.

Vertex: (0,0), Directrix: y = 4

Write the equation of the parabola that has vertex (0, 0) and directrix y = ¹/₄.  Then find the value of the function when x = ³/₂.

• y = - ⁹/₄

• y = ⁹/₄

• y = - ⁹/₁₆

• y = ⁹/₁₆

Write the equation of the parabola that has vertex (-1, 3) and directrix y = 5.

• y = - ¹/₈x² + ¹/₂x - ¹⁵/₈

• y = - ¹/₈x² - ¹/₂x + ¹⁵/₈

• y = - ¹/₈x² - ¹/₄x + ²³/₈

• y = - ¹/₈x² - ¹/₄x - ²³/₈

Write the equation of the parabola that vas vertex (-1, 3) and directrix y = 5.  Then find the value of the function when x = -9.

• y = - 16

• y = - 7.5

• y = - 5

• y = - 10.75

Tags

CCSS.HSG.GPE.A.2

Write the equation of a parabola that has vertex (2, 1) and focus (2, 4).

• y = ¹/₁₂x² - ¹/₃x - ⁴/₃

• y = ¹/₁₂x² + ¹/₃x + ⁴/₃

• y = ¹/₁₂x² + ¹/₃x - ⁴/₃

• y = ¹/₁₂x² - ¹/₃x + ⁴/₃

Tags

CCSS.HSG.GPE.A.2

Write the equation of the parabola that has focus (2, 2) and directrix y = -2. Then find the value of the function when x = -14.

• y = 31

• y = 32

• y = 28.25

• y = 27.25

Tags

CCSS.HSG.GPE.A.2

What is the YELLOW point called?

• Vertex

• Focus

• Directrix

• Axis of Symmetry

What is the YELLOW line called?

• Vertex

• Focus

• Directrix

• Axis of Symmetry

A parabola is the set of all points that are equidistant from a _____ and a _____ not on the _____.

• line, point, line

• point, line, point

• curve, point curve

• point, curve, point

Tags

CCSS.HSG.GPE.A.2