Understanding equations and properties about conic sections

The __________ from ANY point on the parabola to the ______ is the SAME _________ from that same point to the __________!!

Identify the vertex.

• A

• B

• C

• D

Does the parabola f(x) = 4(x-2)² + 3 open up or down?

• up

• down

x+1 = -1/8(y-4)²

What are the coordinates for the focus?

• (1,4)

• (-1,6)

• (-1,2)

• (-3,4)

Write the equation in vertex form for the parabola with vertex (0,0) and

directrix y = –1.

• $\frac{1}{4}x^2-1$

• $-\frac{1}{4}x^2-1$

• $\frac{1}{4}x^2$

• $-\frac{1}{4}x^2$

Find the focus of the given parabola.

Find the equation of a parabola that passes through point (2, 2) with vertex (-2, -2).

• y = ¹/₄(x + 2)² - 2
• y = -¹/₄(x - 2)² - 2
• y = ¹/₄(x + 2)² + 2
• y = -¹/₄(x - 2)² + 2

What is the equation for this parabola in standard form?

• y = -2x² - 6x + 2

• y = -x² - 6x - 9

• y = -x² -3x - 7

• y = -2x² -12x - 25

What is the equation of the following graph?

• y = 2x²

• y = x² + 2

• y = x² - 2

• y = - 2x²

Write the equation of a parabola that has the vertex (1,-8) and opens up.

• y= -6(x+1)² - 8

• y= -7(x-1)² - 8

• y= 4(x-1)² - 8

• y= 6(x+1)² - 8