2 years ago

Question 6: Write an equation for the parabola with vertex (2, 5) and focus (-1, 5).

Mathematics

1 answer:

Agata [3.3K]2 years ago

6 0

D is the correct answer

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2 years ago

Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

10 months ago

Multiply<br> ( 4x + 6y ) to the power of two 2<br> what is the answer?

n200080 [17]

Answer:

Step-by-step explanation:

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3 years ago

Five tickets are selected at random, and those five people win a gift card. If 231 tickets were purchased for the fundraiser, ho

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Answer:

46.2

Step-by-step explanation:

If you divide 231 by 5 then you get that answer.

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3 years ago

Can someone please help me? question is in the picture.

In-s [12.5K]

I believe it’s B
Your trying to find the area of the triangle of the two numbers of that makes any kind of sense

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3 years ago

Read 2 more answers