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o-na [289]
3 years ago
8

Rewrite the quadratic function in vertex form. Y=3x^2-12x+4

Mathematics
2 answers:
Shtirlitz [24]3 years ago
7 0

Answer:

y = 3(x - 2)² - 8

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• The coefficient of the x² term must be 1

Factor out 3 from the first 2 terms

y = 3(x² - 4x ) + 4

• add/subtract (half the coefficient of the x- term )² to x² - 4x

y = 3(x² + 2(- 2)x + (- 2)² - (- 2)² ) + 4 ← complete the square

y = 3(x - 2)² - 12 + 4

y = 3(x - 2)² - 8 ← in vertex form

nataly862011 [7]3 years ago
6 0

Answer:

y=3(x-2)^2-8 I'm pretty sure

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Select all ratios equivalent to 30:6
Korolek [52]

Answer:

60 : 12

90 : 18

120 : 24

150 : 30

3 0
2 years ago
Mr. and Mrs. Garcia took their three children to see a matinee on Saturday . They spent a total of $55.50,1 which included $29.2
zmey [24]
N= number of tickets purchased= 5 people went to the movies
t= cost of each ticket

$55.50 - $29.25= n * t
$55.50 - $29.25= 5t
OR
$55.50= 5t + $29.25

ANSWER: $55.50 - $29.25= 5t OR
$55.50= 5t + $29.25 (there were no equations to choose from, but it should look something like one of these).

Hope this helps! :)
7 0
2 years ago
A rocket launches upward off of a 18 ft platform with an initial velocity of 125 ft/sec creating the equation begin mathsize 18p
Dmitry_Shevchenko [17]
Um i this is not my level
6 0
3 years ago
Bryan made up a game. Each team starts with seven points. Each time a team answers a question correctly, they earn five points.
Margaret [11]
The given equation is:
t = 7 + 5q
where:
t is the total number of points
q is the questions answered correctly

We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
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5 0
3 years ago
Read 2 more answers
Katherine and Crystal do landscaping. They recently earned $1472 for a project. If Katherine earned $5 for every $3 earned by Cr
Degger [83]

Answer:

Katherine: 920

Crystal: 552

Step-by-step explanation:

The total amount earned by each is 1472

The ratio of the earnings is Katherine / Crustal = 5/3

The total number of shares = 5 + 3 = 8

So the proportion for Katherine

5/8 = x / 1472                Cross multiply

8x = 5 * 1472

8x = 7360

x = 7360/8

x = 920

And the proportion for Crystal is

3/8 = x / 1472                 Cross multiply

8x = 3 * 1472

8x = 4416

x = 4416 / 8

x =  552

4 0
3 years ago
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