Parabolas

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Given: 1/2(x + 4) - 5, the equation of the axis of symmetry is

• y = 4

• x = -4

• x = 4

• x = -5

Convert to vertex form.

• y=2(x+3)² - 9

• y=2(x-3)² - 9

• y=2(x+6)² - 9

• y=2(x-6)² - 9

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

Convert to vertex form.

• y=1/3(x+3)² - 29

• y=1/3(x-3)² - 29

• y=1/3(x-9)² - 29

• y=1/3(x+9)² - 29

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a

• x = (-b ±√b² - 4ac)/2a

• y = ax² + bx + c

• y = a(x - h)² + k

What is the equation of a parabola with vertex (3, 4) and focus (7, 4)?

• 16(x - 3) = (y - 4)²

• 28(x - 3) = (y - 4)²

• -28(x - 3) = (y - 4)²

• -16(x - 3) = (y - 4)²

What is the equation of a parabola with focus (9, 5) and directrix y = 1?

• 8(x - 9) = (y - 3)²

• 8(y - 3) = (x - 9)²

• 16(x - 9) = (y - 3)²

• 16(y - 3) = (x - 9)²

Tags

CCSS.HSG.GPE.A.2

What is the equation of a parabola with vertex (-6,7) and directrix x = -4?

• 4(x + 6) = (y - 7)²

• -8(x + 6) = (y - 7)²

• -4(y - 7) = (x + 6)²

• -8(y - 7) = (x + 6)²

Tags

CCSS.HSG.GPE.A.2

What is the equation of this parabola?

• (y - 1)² = -4(x - 3)

• (y - 1)²= 4(x + 3)

• (y + 1)² = 4(x - 3)

• (y + 1)² = -4(x + 3)