Find the Equation of a Parabola

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

Find the equation of the parabola whose

focus is (3, 0) and the directrix is 3x + 4y = 1

• 16x²+9y²−24xy−144x+8y+224=0

• 16x+9y²−24xy−144x+8y+224=0

• 16x²+9y² +24xy−144x+8y+224=0

Tags

CCSS.HSG.GPE.A.2

Find the equation of the parabola whose focus is (1, 1) and the directrix is x + y + 1 = 0

• x²+y²−2xy−6x−6y+3=0

• x²-y²−2xy−6x−6y+3=0

• x²+y²+2xy−6x−6y+3=0

Tags

CCSS.HSG.GPE.A.2

Find the equation of the parabola whose vertex is at (2,1) and the directrix is x=y−1.

• x-y=0

• x+y=0

• -x+y=0

Tags

CCSS.HSG.GPE.A.2

Find the equation of the parabola with vertex at the origin and focus F(0,5).

• x² = 20y

• x² = 2y

• x² =10y

What's the vertex of the parabola?

• (-2,4)
• (-1,1)
• (0,0)
• (2,4)

The vertex of the parabola is the...

• maximum 
• minimum
• axis of symmetry
• line of symmetry

The line of symmetry for this parabola is...

• x = 0
• y = 0
• x = 1
• y = 1

The equation for this parabola is...

• y = x²
• y = x² + 1
• y = x + 1
• y = 2x² + 1

Tags

CCSS.HSF-IF.C.7A

(0,1) on this parabola is the...

• vertex and maximum 
• vertex and minimum
• axis of symmetry
• focal point

Tags

CCSS.HSF-IF.C.7A