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3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

Mathematics

1 answer:

mamaluj [8]3 years ago

3 0

Answer:

y = -⅛(x - 3)² + 3

Step-by-step explanation:

(x - h)² = 4p(y - k)

h = 3

k + p = 1

k - p = 5

2k = 6

k = 3

p = -2

(x - 3)² = 4(-2)(y - 3)

(x - 3)² = -8(y - 3)

y = -⅛(x - 3)² + 3

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Uhhhhh help…..Meh plzzzz

melamori03 [73]

Answer:

g (f (-3)) = -9

Step-by-step explanation:

Given:

Graphs of f(x) and g(x) are given

From the given graphs:

Finding g ( f (-3) ):

-----> g ( f (-3) )

-----> g(5)

-----> -9

so,

g ( f (-3) ) = -9

4 0

1 year ago

-3(5z 24) 2=2(3-2z)-4

zhenek [66]

Answer:

−

364 z + 10

Step-by-step explanation:

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3 years ago

How many planes appear in this figure? Name three points that are collinear. Are points a, b, c, and d coplanar? Explain. At wha

xxTIMURxx [149]

D, B, and A are collinear. Yes they are coplanar because they all lay on the same plane. And I don’t understand the last question

3 0

3 years ago

7 5/6 - 3 1/12 what does this equal as a fraction in simplest form

KengaRu [80]

For this case we convert the mixed numbers into fractions:

$7 \frac {5} {6} = \frac {6 * 7 + 5} {6} = \frac {42 + 5} {6} = \frac {47} {6}\\3 \frac {1} {12} = \frac {12 * 3 + 1} {12} = \frac {36 + 1} {12} = \frac {37} {12}$

Rewriting the expression:

$\frac {47} {6} - \frac {37} {12} =\\\frac {12 * 47-6 * 37} {6 * 12} =\\\frac {564-222} {72} =\\\frac {342} {72} =$

We simplify:

$\frac {171} {36} =\\\frac {57} {12} =\\\frac {19} {4}$

Thus, the simplified form is: $\frac {19} {4}$

Answer:

$\frac {19} {4}$

3 0

2 years ago

Why are the following expressions not<br> monomials?<br> 3xy^Z<br> 1-2s<br> (ab)^1/2

Natalka [10]

3xy^z: exponent is not a nonnegative int.

r-2s: it is not a product

(ab)^1/2: exponent is not a nonnegative int.

8 0

3 years ago