Complete the table for the given rule. Rule: y = x/2 - 1 X Y 4 = 6 = 8 =

1 answer:

5 0

$\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 4&\stackrel{\frac{4}{2}-1}{1}\\&\\ 6&\stackrel{\frac{6}{2}-1}{2}\\&\\ 8&\stackrel{\frac{8}{2}-1}{3}\\ &\\ \cline{1-2} \end{array}$

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Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a

Flauer [41]

9514 1404 393

Answer:

C. 1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

a = 1/(4p)

p = 1/(4a) . . . . . . multiply by p/a; matches choice C

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

$p=\dfrac{1}{4a}$