Circles and conic sections

Which of the following pictures in real life is NOT an example of a parabola?

• A
• B
• C
• D

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

• 
  

  $y\ =\ \frac{1}{24}\left(x+3\right)^2+1$
  

• $y\ =\ \frac{1}{24}\left(x-3\right)^2-1$

• $y\ =\ -\frac{1}{24}\left(x+3\right)^2-1$

• $y\ =\ -\frac{1}{24}\left(x-3\right)^2-1$

Which parabola would open down?

• f(x)=x²

• f(x)=-x²+3x-6

• f(x) = x²-16

• f(x)=2x²-5x+7

Tags

CCSS.HSF-IF.C.7A

Which inequality is shown in the graph?

• y ≥ -(x + 4)² + 1

• y < -(x - 4)² + 1

• y ≤ (x - 4)² + 1

• y ≤ -(x - 4)² + 1

Tags

CCSS.HSF-IF.C.7A

Label the parts of a parabola. Drag and drop the word accordingly.

a

b

c

d

Vertex

Axis of Symmetry

Root or Zero

Y-intercept

What is the vertex of this parabola?

• (2,3)

• (2,-3)

• (-2,3)

• (-2,-3)

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Which way does the parabola open?               (x+3)² = 4(y+5)  

• up 
• down
• left
• right

A parabola has a vertex at (-4,1).

Where is the axis of symmetry?

• y = -4

• x = 4

• x = -4

• y = 4

Which equation is Vertex Form?

• y=ax²+bx+c

• y=a(x-h)²+k