This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

$y=a(x-h)^2+k$ so that means that $a=\frac{1}{8}$ . We can use that to solve for p in the formula

$p=\frac{1}{4a}$ so

$p=\frac{1}{4(\frac{1}{8}) }$ which simplifies to

$p=\frac{1}{\frac{1}{2} }$ which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.

6 0

3 years ago

Jason has a bag of tiles with the letters from the word IMPOSSIBLE. He pulls a random tile out of the bag. Which outcomes are mo

Jobisdone [24]

Answer: A pull a vowel

Step-by-step explanation: its unlikely he will pull a consonant since a consonate is when your lips touch together (like "p" "m" "b") pulling an E or P is low, but a vowel covers A,E,I,O, and U so it covers four letters, so your best bet is A.

4 0

3 years ago

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