Last year Sophia baked 75 cookies, but this year she

What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)

larisa [96]

Answer:

The vertex is the point $(-1,0)$

Step-by-step explanation:

we have

$f(x)=3x^{2} +6x+3$

we know ow that

The equation of a vertical parabola into vertex form is equal to

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

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-3=3x^{2} +6x$

Factor the leading coefficient

$f(x)-3=3(x^{2} +2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-3+3=3(x^{2} +2x+1)$

$f(x)=3(x^{2} +2x+1)$

Rewrite as perfect squares

$f(x)=3(x+1)^{2}$

therefore

the vertex is the point $(-1,0)$

6 0

3 years ago

Read 2 more answers

How do you write the circumference of the circle in terms on 几

Thepotemich [5.8K]

____________________________________

Hey!!!

The formula to find circumference of circle 

=2 pi r

For eg:

Radius=4 cm

Circumference of circle=2 pi r

 =2 *pi*4

 =8 pi

Hope it helps..

Good luck on your assignment

#Stay safe#

__________________________________

6 0

3 years ago

A Ferrari is heading south at a constant speed on Broadway (a north/south street) at the same time a Mercedes is heading west on

Studentka2010 [4]

Answer:

49.92 miles/hour

Step-by-step explanation:

32 miles/hour = 32 * 5280 = 168960 ft/hour

For the collision to occur, both cars must arrive at the intersection at the same time.

The time it takes for the Mercedes to travel 400 feet at the rate of 168960 ft/hour is 400 / 168960 = 0.002367 hours

So the Ferrari should take the same time to travel 624 feet as well, its speed would be

624 / 0.002367 = 263577.6 ft/hour or 263577.6 / 5280 = 49.92 miles/hour

5 0

3 years ago

6=4y+2 what is the answer

blagie [28]

Answer: 1 = y
All you have to do is carry the 2 over and subtract it from 6 so then you just have 4=4y which will turn into 1=y

6 0

3 years ago

The coordinates of the vertices of the triangle are

Alecsey [184]

The area of the triangle PQR is 108 square units

<h3>How to determine the area of the triangle?</h3>

The given parameters are:

Height, h = 12 units
Base, b = 18 units

The area is then calculated using:

Area = 0.5 * base * height

So, we have:

Area = 0.5 * 18 * 12

Evaluate

Area = 108

Hence, the area of the triangle PQR is 108 square units