All categories

3 years ago

Y = -x^2 + 4x quadratic formula

Mathematics

1 answer:

marin [14]3 years ago

4 0

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

( 2 , 4 )

Focus:

( 2 , 15 /4 )

Axis of Symmetry:

x = 2

Directrix:

y = 17 /4

x y

0 0

1 3

2 4

3 3

4 0

To find the x-intercept, substitute in

0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

x-intercept(s): ( 0 , 0 ) , ( − 4 , 0 )

y-intercept(s): ( 0 , 0 )

Step-by-step explanation:

You might be interested in

Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

5 0

3 years ago

A windstorm knocks a pole over forming a slight angle with the ground. The pole is 18 meters tall, and three top of the pole is

malfutka [58]

Answer: 56.1 (I think & hope lol)

Step-by-step explanation:

The height of the pole is 18 & the height from the top of the pole to the ground is 15. So you’ve got your hypotenuse (18) & ur opposite (from the angle: 15). That gives you Sin(theta). So sin(theta)= 15/18. Divide 15/18 & get .83. Use the inverse of sin (sin^-1(.83)) to get that the angle is 56.1. Hopefully that’s correct

4 0

3 years ago

Faith creates a course for students to run on field day. She uses a map with a scale of 1 centimeter: 3 meters. On the map, the

Rufina [12.5K]

I think the answer is 15 meters

6 0

3 years ago

The current population of a city can be represented by p. the population is expected to increase by 6.5% next year. Write a expr

krok68 [10]

Population growth is generally given by an exponential function,

f(x) = a*b^x, where a is the original population, b = 1 + the rate of growth (written as a decimal number), and x is the amount of time. In our case we have

p(1 + 0.065)^1
= p(1.065) = 1.065p

5 0

3 years ago

Solve: 5|x+4|<9. State your answer as an inequality (e.g. A

julsineya [31]

$5|x+4|$

8 0

3 years ago